45552699017280 has 2688 divisors, whose sum is σ = 205443681730560. Its totient is φ = 9416300544000.

The previous prime is 45552699017261. The next prime is 45552699017333. The reversal of 45552699017280 is 8271099625554.

45552699017280 is a `hidden beast` number, since 4 + 5 + 5 + 5 + 269 + 90 + 1 + 7 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60656056905 + ... + 60656057655.

It is an arithmetic number, because the mean of its divisors is an integer number (76429941120).

Almost surely, 2^{45552699017280} is an apocalyptic number.

45552699017280 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 45552699017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102721840865280).

45552699017280 is an abundant number, since it is smaller than the sum of its proper divisors (159890982713280).

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

45552699017280 is a wasteful number, since it uses less digits than its factorization.

45552699017280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 45552699017280 in words is "forty-five trillion, five hundred fifty-two billion, six hundred ninety-nine million, seventeen thousand, two hundred eighty".