45679472963520 has 896 divisors, whose sum is σ = 166050817081344. Its totient is φ = 10538035200000.

The previous prime is 45679472963497. The next prime is 45679472963521. The reversal of 45679472963520 is 2536927497654.

It is a super-2 number, since 2×45679472963520² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45679472963521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15375115635 + ... + 15375118605.

Almost surely, 2^{45679472963520} is an apocalyptic number.

45679472963520 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 45679472963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83025408540672).

45679472963520 is an abundant number, since it is smaller than the sum of its proper divisors (120371344117824).

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

45679472963520 is a wasteful number, since it uses less digits than its factorization.

45679472963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 69.

The spelling of 45679472963520 in words is "forty-five trillion, six hundred seventy-nine billion, four hundred seventy-two million, nine hundred sixty-three thousand, five hundred twenty".