45467410504000 has 112 divisors (see below), whose sum is σ = 112674005361216. Its totient is φ = 18175017792000.

The previous prime is 45467410503979. The next prime is 45467410504073. The reversal of 45467410504000 is 40501476454.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10318135 + ... + 14049865.

Almost surely, 2^{45467410504000} is an apocalyptic number.

45467410504000 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 45467410504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56337002680608).

45467410504000 is an abundant number, since it is smaller than the sum of its proper divisors (67206594857216).

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

45467410504000 is a wasteful number, since it uses less digits than its factorization.

45467410504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733281 (or 3733261 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The spelling of 45467410504000 in words is "forty-five trillion, four hundred sixty-seven billion, four hundred ten million, five hundred four thousand".