49264809984 has 384 divisors, whose sum is σ = 165477312000. Its totient is φ = 14356611072.

The previous prime is 49264809959. The next prime is 49264810027. The reversal of 49264809984 is 48990846294.

49264809984 is a `hidden beast` number, since 49 + 26 + 480 + 9 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×49264809984⁴ (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13656309 + ... + 13659915.

It is an arithmetic number, because the mean of its divisors is an integer number (430930500).

Almost surely, 2^49264809984 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 49264809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82738656000).

49264809984 is an abundant number, since it is smaller than the sum of its proper divisors (116212502016).

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

49264809984 is a wasteful number, since it uses less digits than its factorization.

49264809984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 49264809984 in words is "forty-nine billion, two hundred sixty-four million, eight hundred nine thousand, nine hundred eighty-four".