45685329592320 has 2560 divisors, whose sum is σ = 194234100984000. Its totient is φ = 10146860236800.

The previous prime is 45685329592313. The next prime is 45685329592327. The reversal of 45685329592320 is 2329592358654.

It is a happy number.

45685329592320 is a `hidden beast` number, since 4 + 5 + 6 + 8 + 5 + 3 + 2 + 9 + 592 + 32 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45685329592313) and next prime (45685329592327).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45685329592327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101749063456 + ... + 101749063904.

Almost surely, 2^{45685329592320} is an apocalyptic number.

45685329592320 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 45685329592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97117050492000).

45685329592320 is an abundant number, since it is smaller than the sum of its proper divisors (148548771391680).

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

45685329592320 is a wasteful number, since it uses less digits than its factorization.

45685329592320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 45685329592320 in words is "forty-five trillion, six hundred eighty-five billion, three hundred twenty-nine million, five hundred ninety-two thousand, three hundred twenty".