45972109680 has 480 divisors, whose sum is σ = 180162754560. Its totient is φ = 9632286720.

The previous prime is 45972109679. The next prime is 45972109693. The reversal of 45972109680 is 8690127954.

It is a super-2 number, since 2×45972109680² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 6923322 + ... + 6929958.

It is an arithmetic number, because the mean of its divisors is an integer number (375339072).

Almost surely, 2^45972109680 is an apocalyptic number.

45972109680 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 45972109680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90081377280).

45972109680 is an abundant number, since it is smaller than the sum of its proper divisors (134190644880).

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

45972109680 is a wasteful number, since it uses less digits than its factorization.

45972109680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 45972109680 in words is "forty-five billion, nine hundred seventy-two million, one hundred nine thousand, six hundred eighty".