253148347357416 has 192 divisors, whose sum is σ = 798721978953600. Its totient is φ = 70937444058624.

The previous prime is 253148347357393. The next prime is 253148347357429. The reversal of 253148347357416 is 614753743841352.

It is a happy number.

253148347357416 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 4 + 8 + 3 + 47 + 3 + 574 + 16 = 666.

253148347357416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 8635455 + ... + 24101198.

It is an arithmetic number, because the mean of its divisors is an integer number (4160010307050).

Almost surely, 2^{253148347357416} is an apocalyptic number.

It is an amenable number.

253148347357416 is an abundant number, since it is smaller than the sum of its proper divisors (545573631596184).

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

253148347357416 is a wasteful number, since it uses less digits than its factorization.

253148347357416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32736968 (or 32736961 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 253148347357416 in words is "two hundred fifty-three trillion, one hundred forty-eight billion, three hundred forty-seven million, three hundred fifty-seven thousand, four hundred sixteen".