1351153542816 has 480 divisors, whose sum is σ = 5047745205888. Its totient is φ = 344324597760.

The previous prime is 1351153542787. The next prime is 1351153542841. The reversal of 1351153542816 is 6182453511531.

1351153542816 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 15 + 354 + 281 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10514086 + ... + 10641818.

Almost surely, 2^{1351153542816} is an apocalyptic number.

1351153542816 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 1351153542816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523872602944).

1351153542816 is an abundant number, since it is smaller than the sum of its proper divisors (3696591663072).

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

1351153542816 is a wasteful number, since it uses less digits than its factorization.

1351153542816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127826 (or 127809 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 1351153542816 in words is "one trillion, three hundred fifty-one billion, one hundred fifty-three million, five hundred forty-two thousand, eight hundred sixteen".