1357274016 has 384 divisors, whose sum is σ = 4917749760. Its totient is φ = 355332096.

The previous prime is 1357273993. The next prime is 1357274021. The reversal of 1357274016 is 6104727531.

It is a happy number.

1357274016 is a `hidden beast` number, since 1 + 3 + 572 + 74 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 4420935 + ... + 4421241.

It is an arithmetic number, because the mean of its divisors is an integer number (12806640).

Almost surely, 2^1357274016 is an apocalyptic number.

1357274016 is a gapful number since it is divisible by the number (16) 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 1357274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458874880).

1357274016 is an abundant number, since it is smaller than the sum of its proper divisors (3560475744).

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

1357274016 is a wasteful number, since it uses less digits than its factorization.

1357274016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1357274016 is about 36841.1999804567. The cubic root of 1357274016 is about 1107.1909101490.

The spelling of 1357274016 in words is "one billion, three hundred fifty-seven million, two hundred seventy-four thousand, sixteen".