1357954416 has 160 divisors (see below), whose sum is σ = 4797470720. Its totient is φ = 358131456.

The previous prime is 1357954391. The next prime is 1357954439. The reversal of 1357954416 is 6144597531.

1357954416 is a `hidden beast` number, since 1 + 35 + 79 + 544 + 1 + 6 = 666.

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, 22041 + ... + 56583.

It is an arithmetic number, because the mean of its divisors is an integer number (29984192).

Almost surely, 2^1357954416 is an apocalyptic number.

1357954416 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 1357954416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398735360).

1357954416 is an abundant number, since it is smaller than the sum of its proper divisors (3439516304).

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

1357954416 is a wasteful number, since it uses less digits than its factorization.

1357954416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34580 (or 34568 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1357954416 is about 36850.4330503727. The cubic root of 1357954416 is about 1107.3758904453.

The spelling of 1357954416 in words is "one billion, three hundred fifty-seven million, nine hundred fifty-four thousand, four hundred sixteen".