45178054562784 has 192 divisors, whose sum is σ = 142723509643008. Its totient is φ = 12328993075200.

The previous prime is 45178054562701. The next prime is 45178054562869. The reversal of 45178054562784 is 48726545087154.

45178054562784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45178054562784² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39570594 + ... + 40696289.

It is an arithmetic number, because the mean of its divisors is an integer number (743351612724).

Almost surely, 2^{45178054562784} is an apocalyptic number.

45178054562784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45178054562784 is an abundant number, since it is smaller than the sum of its proper divisors (97545455080224).

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

45178054562784 is a wasteful number, since it uses less digits than its factorization.

45178054562784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80266961 (or 80266953 counting only the distinct ones).

The product of its (nonzero) digits is 301056000, while the sum is 66.

The spelling of 45178054562784 in words is "forty-five trillion, one hundred seventy-eight billion, fifty-four million, five hundred sixty-two thousand, seven hundred eighty-four".