45858666357504 has 4320 divisors, whose sum is σ = 201346745402880. Its totient is φ = 10080383385600.

The previous prime is 45858666357499. The next prime is 45858666357509. The reversal of 45858666357504 is 40575366685854.

It is an interprime number because it is at equal distance from previous prime (45858666357499) and next prime (45858666357509).

It is a super-2 number, since 2×45858666357504² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45858666357509) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1479311817969 + ... + 1479311817999.

Almost surely, 2^{45858666357504} is an apocalyptic number.

45858666357504 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 45858666357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100673372701440).

45858666357504 is an abundant number, since it is smaller than the sum of its proper divisors (155488079045376).

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

45858666357504 is a wasteful number, since it uses less digits than its factorization.

45858666357504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2903040000, while the sum is 72.

The spelling of 45858666357504 in words is "forty-five trillion, eight hundred fifty-eight billion, six hundred sixty-six million, three hundred fifty-seven thousand, five hundred four".