46239365652480 has 7056 divisors, whose sum is σ = 242071989854544. Its totient is φ = 8347377991680.

The previous prime is 46239365652461. The next prime is 46239365652547. The reversal of 46239365652480 is 8425656393264.

46239365652480 is a `hidden beast` number, since 4 + 6 + 2 + 3 + 93 + 6 + 5 + 65 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (7056).

It is a super-2 number, since 2×46239365652480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 2719962685432 + ... + 2719962685448.

Almost surely, 2^{46239365652480} is an apocalyptic number.

46239365652480 is a gapful number since it is divisible by the number (40) 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 46239365652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121035994927272).

46239365652480 is an abundant number, since it is smaller than the sum of its proper divisors (195832624202064).

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

46239365652480 is a wasteful number, since it uses less digits than its factorization.

46239365652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 46239365652480 in words is "forty-six trillion, two hundred thirty-nine billion, three hundred sixty-five million, six hundred fifty-two thousand, four hundred eighty".