1361528139456 has 280 divisors, whose sum is σ = 4076563906800. Its totient is φ = 449297971200.

The previous prime is 1361528139443. The next prime is 1361528139527. The reversal of 1361528139456 is 6549318251631.

1361528139456 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 52 + 8 + 139 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 313064770 + ... + 313069118.

It is an arithmetic number, because the mean of its divisors is an integer number (14559156810).

Almost surely, 2^{1361528139456} is an apocalyptic number.

1361528139456 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 1361528139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038281953400).

1361528139456 is an abundant number, since it is smaller than the sum of its proper divisors (2715035767344).

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

1361528139456 is a wasteful number, since it uses less digits than its factorization.

1361528139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4946 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 1361528139456 in words is "one trillion, three hundred sixty-one billion, five hundred twenty-eight million, one hundred thirty-nine thousand, four hundred fifty-six".