45789257174976 has 840 divisors, whose sum is σ = 163315139594112. Its totient is φ = 12635191296000.

The previous prime is 45789257174957. The next prime is 45789257174977. The reversal of 45789257174976 is 67947175298754.

45789257174976 is a `hidden beast` number, since 4 + 5 + 78 + 9 + 2 + 57 + 1 + 7 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 45789257174895 and 45789257174904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45789257174977) 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 119 ways as a sum of consecutive naturals, for example, 4102606836 + ... + 4102617996.

Almost surely, 2^{45789257174976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45789257174976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81657569797056).

45789257174976 is an abundant number, since it is smaller than the sum of its proper divisors (117525882419136).

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

45789257174976 is a wasteful number, since it uses less digits than its factorization.

45789257174976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11751 (or 11725 counting only the distinct ones).

The product of its digits is 7468070400, while the sum is 81.

The spelling of 45789257174976 in words is "forty-five trillion, seven hundred eighty-nine billion, two hundred fifty-seven million, one hundred seventy-four thousand, nine hundred seventy-six".