49219810625664 has 576 divisors, whose sum is σ = 168367938560640. Its totient is φ = 13755155484672.

The previous prime is 49219810625653. The next prime is 49219810625681. The reversal of 49219810625664 is 46652601891294.

49219810625664 is a `hidden beast` number, since 4 + 9 + 2 + 1 + 9 + 8 + 1 + 0 + 62 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 5234474787 + ... + 5234484189.

It is an arithmetic number, because the mean of its divisors is an integer number (292305448890).

Almost surely, 2^{49219810625664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49219810625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84183969280320).

49219810625664 is an abundant number, since it is smaller than the sum of its proper divisors (119148127934976).

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

49219810625664 is a wasteful number, since it uses less digits than its factorization.

49219810625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11457 (or 11435 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 49219810625664 in words is "forty-nine trillion, two hundred nineteen billion, eight hundred ten million, six hundred twenty-five thousand, six hundred sixty-four".