45960961011840 has 1536 divisors, whose sum is σ = 188347161600000. Its totient is φ = 10321205207040.

The previous prime is 45960961011811. The next prime is 45960961011851. The reversal of 45960961011840 is 4811016906954.

45960961011840 is a `hidden beast` number, since 4 + 5 + 9 + 6 + 0 + 9 + 610 + 1 + 18 + 4 + 0 = 666.

It is a super-2 number, since 2×45960961011840² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76729483861 + ... + 76729484459.

It is an arithmetic number, because the mean of its divisors is an integer number (122621850000).

Almost surely, 2^{45960961011840} is an apocalyptic number.

45960961011840 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 45960961011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94173580800000).

45960961011840 is an abundant number, since it is smaller than the sum of its proper divisors (142386200588160).

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

45960961011840 is a wasteful number, since it uses less digits than its factorization.

45960961011840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 45960961011840 in words is "forty-five trillion, nine hundred sixty billion, nine hundred sixty-one million, eleven thousand, eight hundred forty".