45918033004800 has 2592 divisors, whose sum is σ = 197683027476480. Its totient is φ = 10037683814400.

The previous prime is 45918033004799. The next prime is 45918033004841. The reversal of 45918033004800 is 840033081954.

45918033004800 is a `hidden beast` number, since 4 + 5 + 91 + 80 + 3 + 3 + 0 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 106046265384 + ... + 106046265816.

Almost surely, 2^{45918033004800} is an apocalyptic number.

45918033004800 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 45918033004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98841513738240).

45918033004800 is an abundant number, since it is smaller than the sum of its proper divisors (151764994471680).

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

45918033004800 is a wasteful number, since it uses less digits than its factorization.

45918033004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45918033004800 in words is "forty-five trillion, nine hundred eighteen billion, thirty-three million, four thousand, eight hundred".