42652458123264 has 512 divisors, whose sum is σ = 138570475507200. Its totient is φ = 12858800209920.

The previous prime is 42652458123257. The next prime is 42652458123271. The reversal of 42652458123264 is 46232185425624.

42652458123264 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 2 + 458 + 123 + 2 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (42652458123257) and next prime (42652458123271).

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42652458123264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917211789 + ... + 1917234035.

It is an arithmetic number, because the mean of its divisors is an integer number (270645459975).

Almost surely, 2^{42652458123264} is an apocalyptic number.

42652458123264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42652458123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69285237753600).

42652458123264 is an abundant number, since it is smaller than the sum of its proper divisors (95918017383936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42652458123264 is a wasteful number, since it uses less digits than its factorization.

42652458123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22494 (or 22460 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 42652458123264 in words is "forty-two trillion, six hundred fifty-two billion, four hundred fifty-eight million, one hundred twenty-three thousand, two hundred sixty-four".