45126461470500 has 288 divisors, whose sum is σ = 154685448852480. Its totient is φ = 11032614720000.

The previous prime is 45126461470463. The next prime is 45126461470511. The reversal of 45126461470500 is 507416462154.

45126461470500 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 64 + 6 + 14 + 70 + 500 = 666.

It is a super-3 number, since 3×45126461470500³ (a number of 42 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 5862321 + ... + 11163320.

It is an arithmetic number, because the mean of its divisors is an integer number (537102252960).

Almost surely, 2^{45126461470500} is an apocalyptic number.

It is an amenable number.

45126461470500 is an abundant number, since it is smaller than the sum of its proper divisors (109558987381980).

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

45126461470500 is a wasteful number, since it uses less digits than its factorization.

45126461470500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17025716 (or 17025701 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45126461470500 in words is "forty-five trillion, one hundred twenty-six billion, four hundred sixty-one million, four hundred seventy thousand, five hundred".