1357509694464 has 1848 divisors, whose sum is σ = 5427683056320. Its totient is φ = 331085905920.

The previous prime is 1357509694459. The next prime is 1357509694481. The reversal of 1357509694464 is 4644969057531.

It is a happy number.

1357509694464 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 509 + 69 + 4 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1848).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12013360072 + ... + 12013360184.

Almost surely, 2^{1357509694464} is an apocalyptic number.

1357509694464 is a gapful number since it is divisible by the number (14) 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 1357509694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713841528160).

1357509694464 is an abundant number, since it is smaller than the sum of its proper divisors (4070173361856).

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

1357509694464 is a wasteful number, since it uses less digits than its factorization.

1357509694464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 1357509694464 in words is "one trillion, three hundred fifty-seven billion, five hundred nine million, six hundred ninety-four thousand, four hundred sixty-four".