49152928892067 has 288 divisors, whose sum is σ = 99272999641088. Its totient is φ = 22780631808000.

The previous prime is 49152928892059. The next prime is 49152928892099. The reversal of 49152928892067 is 76029882925194.

49152928892067 is a `hidden beast` number, since 4 + 9 + 1 + 529 + 2 + 8 + 8 + 92 + 0 + 6 + 7 = 666.

It is not a de Polignac number, because 49152928892067 - 2³ = 49152928892059 is a prime.

It is a super-4 number, since 4×49152928892067⁴ (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49152928891986 and 49152928892004.

It is not an unprimeable number, because it can be changed into a prime (49152928892057) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2528303067 + ... + 2528322507.

Almost surely, 2^{49152928892067} is an apocalyptic number.

49152928892067 is an abundant number, since it is smaller than the sum of its proper divisors (50120070749021).

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

49152928892067 is a wasteful number, since it uses less digits than its factorization.

49152928892067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20343 (or 20329 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 49152928892067 in words is "forty-nine trillion, one hundred fifty-two billion, nine hundred twenty-eight million, eight hundred ninety-two thousand, sixty-seven".