1357122816 has 216 divisors, whose sum is σ = 4669640640. Its totient is φ = 387652608.

The previous prime is 1357122803. The next prime is 1357122817. The reversal of 1357122816 is 6182217531.

1357122816 is a `hidden beast` number, since 1 + 3 + 571 + 2 + 2 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357122817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336685 + ... + 340691.

Almost surely, 2^1357122816 is an apocalyptic number.

1357122816 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 1357122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334820320).

1357122816 is an abundant number, since it is smaller than the sum of its proper divisors (3312517824).

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

1357122816 is an equidigital number, since it uses as much as digits as its factorization.

1357122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4046 (or 4019 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1357122816 is about 36839.1478728811. The cubic root of 1357122816 is about 1107.1497950216.

The spelling of 1357122816 in words is "one billion, three hundred fifty-seven million, one hundred twenty-two thousand, eight hundred sixteen".