1451313192960 has 896 divisors, whose sum is σ = 5308280732160. Its totient is φ = 376090656768.

The previous prime is 1451313192949. The next prime is 1451313193021. The reversal of 1451313192960 is 692913131541.

1451313192960 is a `hidden beast` number, since 1 + 45 + 1 + 3 + 1 + 319 + 296 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8903761839 + ... + 8903762001.

It is an arithmetic number, because the mean of its divisors is an integer number (5924420460).

Almost surely, 2^{1451313192960} is an apocalyptic number.

1451313192960 is a gapful number since it is divisible by the number (10) 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 1451313192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654140366080).

1451313192960 is an abundant number, since it is smaller than the sum of its proper divisors (3856967539200).

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

1451313192960 is an equidigital number, since it uses as much as digits as its factorization.

1451313192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1451313192960 in words is "one trillion, four hundred fifty-one billion, three hundred thirteen million, one hundred ninety-two thousand, nine hundred sixty".