1456634160072 has 512 divisors, whose sum is σ = 5190721536000. Its totient is φ = 368149432320.

The previous prime is 1456634160061. The next prime is 1456634160077. The reversal of 1456634160072 is 2700614366541.

1456634160072 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 6 + 34 + 1 + 600 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1456634160077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62750004 + ... + 62773212.

It is an arithmetic number, because the mean of its divisors is an integer number (10138128000).

Almost surely, 2^{1456634160072} is an apocalyptic number.

1456634160072 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 1456634160072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595360768000).

1456634160072 is an abundant number, since it is smaller than the sum of its proper divisors (3734087375928).

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

1456634160072 is a wasteful number, since it uses less digits than its factorization.

1456634160072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23378 (or 23368 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1456634160072 in words is "one trillion, four hundred fifty-six billion, six hundred thirty-four million, one hundred sixty thousand, seventy-two".