45179588256840 has 96 divisors (see below), whose sum is σ = 147391965040320. Its totient is φ = 12002080708224.

The previous prime is 45179588256791. The next prime is 45179588256841. The reversal of 45179588256840 is 4865288597154.

45179588256840 is a `hidden beast` number, since 4 + 5 + 1 + 7 + 9 + 58 + 8 + 2 + 568 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45179588256841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238496302 + ... + 238685661.

It is an arithmetic number, because the mean of its divisors is an integer number (1535332969170).

Almost surely, 2^{45179588256840} is an apocalyptic number.

45179588256840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45179588256840 is an abundant number, since it is smaller than the sum of its proper divisors (102212376783480).

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

45179588256840 is a wasteful number, since it uses less digits than its factorization.

45179588256840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477182243 (or 477182236 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 45179588256840 in words is "forty-five trillion, one hundred seventy-nine billion, five hundred eighty-eight million, two hundred fifty-six thousand, eight hundred forty".