1351115403264 has 832 divisors, whose sum is σ = 4666683985920. Its totient is φ = 382179409920.

The previous prime is 1351115403263. The next prime is 1351115403347. The reversal of 1351115403264 is 4623045111531.

1351115403264 is a `hidden beast` number, since 1 + 3 + 51 + 1 + 1 + 540 + 3 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351115403263) 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, 1203129807 + ... + 1203130929.

Almost surely, 2^{1351115403264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351115403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333341992960).

1351115403264 is an abundant number, since it is smaller than the sum of its proper divisors (3315568582656).

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

1351115403264 is a wasteful number, since it uses less digits than its factorization.

1351115403264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1351115403264 in words is "one trillion, three hundred fifty-one billion, one hundred fifteen million, four hundred three thousand, two hundred sixty-four".