45745047640080 has 240 divisors, whose sum is σ = 161747238407040. Its totient is φ = 11554179379200.

The previous prime is 45745047640079. The next prime is 45745047640091. The reversal of 45745047640080 is 8004674054754.

45745047640080 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 50 + 476 + 40 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45745047639999 and 45745047640026.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64229125 + ... + 64937435.

It is an arithmetic number, because the mean of its divisors is an integer number (673946826696).

Almost surely, 2^{45745047640080} is an apocalyptic number.

45745047640080 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 45745047640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80873619203520).

45745047640080 is an abundant number, since it is smaller than the sum of its proper divisors (116002190766960).

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

45745047640080 is a wasteful number, since it uses less digits than its factorization.

45745047640080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713070 (or 713061 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 45745047640080 in words is "forty-five trillion, seven hundred forty-five billion, forty-seven million, six hundred forty thousand, eighty".