45692269929600 has 768 divisors, whose sum is σ = 175678655846400. Its totient is φ = 10222623129600.

The previous prime is 45692269929533. The next prime is 45692269929617. The reversal of 45692269929600 is 692996229654.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 663162352 + ... + 663231248.

It is an arithmetic number, because the mean of its divisors is an integer number (228748249800).

Almost surely, 2^{45692269929600} is an apocalyptic number.

45692269929600 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 45692269929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87839327923200).

45692269929600 is an abundant number, since it is smaller than the sum of its proper divisors (129986385916800).

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

45692269929600 is a wasteful number, since it uses less digits than its factorization.

45692269929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69141 (or 69124 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 69.

The spelling of 45692269929600 in words is "forty-five trillion, six hundred ninety-two billion, two hundred sixty-nine million, nine hundred twenty-nine thousand, six hundred".