45376978944000 has 2304 divisors, whose sum is σ = 178076717844480. Its totient is φ = 10150215680000.

The previous prime is 45376978943903. The next prime is 45376978944043. The reversal of 45376978944000 is 44987967354.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509853695956 + ... + 509853696044.

It is an arithmetic number, because the mean of its divisors is an integer number (77290242120).

Almost surely, 2^{45376978944000} is an apocalyptic number.

45376978944000 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 45376978944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89038358922240).

45376978944000 is an abundant number, since it is smaller than the sum of its proper divisors (132699738900480).

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

45376978944000 is an equidigital number, since it uses as much as digits as its factorization.

45376978944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 45376978944000 in words is "forty-five trillion, three hundred seventy-six billion, nine hundred seventy-eight million, nine hundred forty-four thousand".