1351552459392 has 640 divisors, whose sum is σ = 4472977766400. Its totient is φ = 403354183680.

The previous prime is 1351552459379. The next prime is 1351552459427. The reversal of 1351552459392 is 2939542551531.

1351552459392 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 5 + 5 + 245 + 9 + 392 = 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 79 ways as a sum of consecutive naturals, for example, 262587763 + ... + 262592909.

It is an arithmetic number, because the mean of its divisors is an integer number (6989027760).

Almost surely, 2^{1351552459392} is an apocalyptic number.

1351552459392 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 1351552459392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236488883200).

1351552459392 is an abundant number, since it is smaller than the sum of its proper divisors (3121425307008).

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

1351552459392 is a wasteful number, since it uses less digits than its factorization.

1351552459392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5245 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 54.

The spelling of 1351552459392 in words is "one trillion, three hundred fifty-one billion, five hundred fifty-two million, four hundred fifty-nine thousand, three hundred ninety-two".