45699534566400 has 2112 divisors, whose sum is σ = 184218209280000. Its totient is φ = 9840033792000.

The previous prime is 45699534566351. The next prime is 45699534566449. The reversal of 45699534566400 is 466543599654.

It is an interprime number because it is at equal distance from previous prime (45699534566351) and next prime (45699534566449).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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, 91582233351 + ... + 91582233849.

Almost surely, 2^{45699534566400} is an apocalyptic number.

45699534566400 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 45699534566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92109104640000).

45699534566400 is an abundant number, since it is smaller than the sum of its proper divisors (138518674713600).

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

45699534566400 is a wasteful number, since it uses less digits than its factorization.

45699534566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 66.

The spelling of 45699534566400 in words is "forty-five trillion, six hundred ninety-nine billion, five hundred thirty-four million, five hundred sixty-six thousand, four hundred".