1460812031991 has 128 divisors (see below), whose sum is σ = 2512791142400. Its totient is φ = 831036205440.

The previous prime is 1460812031977. The next prime is 1460812032013. The reversal of 1460812031991 is 1991302180641.

1460812031991 is a `hidden beast` number, since 1 + 4 + 608 + 1 + 2 + 0 + 31 + 9 + 9 + 1 = 666.

It is not a de Polignac number, because 1460812031991 - 2¹⁸ = 1460811769847 is a prime.

It is a super-3 number, since 3×1460812031991³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1460812031911) 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, 421832526 + ... + 421835988.

It is an arithmetic number, because the mean of its divisors is an integer number (19631180800).

Almost surely, 2^{1460812031991} is an apocalyptic number.

1460812031991 is a deficient number, since it is larger than the sum of its proper divisors (1051979110409).

1460812031991 is a wasteful number, since it uses less digits than its factorization.

1460812031991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 1460812031991 in words is "one trillion, four hundred sixty billion, eight hundred twelve million, thirty-one thousand, nine hundred ninety-one".