1357684204512 has 384 divisors, whose sum is σ = 3895808845824. Its totient is φ = 412400222208.

The previous prime is 1357684204507. The next prime is 1357684204519. The reversal of 1357684204512 is 2154024867531.

It is a super-3 number, since 3×1357684204512³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357684204519) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2787852333 + ... + 2787852819.

It is an arithmetic number, because the mean of its divisors is an integer number (10145335536).

Almost surely, 2^{1357684204512} is an apocalyptic number.

1357684204512 is a gapful number since it is divisible by the number (12) 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 1357684204512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947904422912).

1357684204512 is an abundant number, since it is smaller than the sum of its proper divisors (2538124641312).

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

1357684204512 is a wasteful number, since it uses less digits than its factorization.

1357684204512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 1357684204512 in words is "one trillion, three hundred fifty-seven billion, six hundred eighty-four million, two hundred four thousand, five hundred twelve".