1460155746816 has 480 divisors, whose sum is σ = 4855671300480. Its totient is φ = 418634956800.

The previous prime is 1460155746761. The next prime is 1460155746839. The reversal of 1460155746816 is 6186475510641.

1460155746816 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 1 + 5 + 574 + 68 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69418221 + ... + 69439251.

It is an arithmetic number, because the mean of its divisors is an integer number (10115981876).

Almost surely, 2^{1460155746816} is an apocalyptic number.

1460155746816 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 1460155746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427835650240).

1460155746816 is an abundant number, since it is smaller than the sum of its proper divisors (3395515553664).

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

1460155746816 is a wasteful number, since it uses less digits than its factorization.

1460155746816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21148 (or 21129 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1460155746816 in words is "one trillion, four hundred sixty billion, one hundred fifty-five million, seven hundred forty-six thousand, eight hundred sixteen".