5042649378816 has 832 divisors, whose sum is σ = 18251927976960. Its totient is φ = 1342958469120.

The previous prime is 5042649378803. The next prime is 5042649378869. The reversal of 5042649378816 is 6188739462405.

5042649378816 is a `hidden beast` number, since 50 + 4 + 2 + 6 + 493 + 7 + 88 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1408166146 + ... + 1408169726.

It is a 1-persistent number, because it is pandigital, but 2⋅5042649378816 = 10085298757632 is not.

Almost surely, 2^{5042649378816} is an apocalyptic number.

5042649378816 is a gapful number since it is divisible by the number (56) 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 5042649378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9125963988480).

5042649378816 is an abundant number, since it is smaller than the sum of its proper divisors (13209278598144).

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

5042649378816 is a wasteful number, since it uses less digits than its factorization.

5042649378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 5042649378816 in words is "five trillion, forty-two billion, six hundred forty-nine million, three hundred seventy-eight thousand, eight hundred sixteen".