1356308787456 has 864 divisors, whose sum is σ = 4805918208000. Its totient is φ = 359297482752.

The previous prime is 1356308787419. The next prime is 1356308787469. The reversal of 1356308787456 is 6547878036531.

It is a happy number.

1356308787456 is a `hidden beast` number, since 13 + 563 + 0 + 8 + 7 + 8 + 7 + 4 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1356308787393 and 1356308787402.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4333254756 + ... + 4333255068.

Almost surely, 2^{1356308787456} is an apocalyptic number.

1356308787456 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 1356308787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402959104000).

1356308787456 is an abundant number, since it is smaller than the sum of its proper divisors (3449609420544).

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

1356308787456 is a wasteful number, since it uses less digits than its factorization.

1356308787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 1356308787456 in words is "one trillion, three hundred fifty-six billion, three hundred eight million, seven hundred eighty-seven thousand, four hundred fifty-six".