140460145890768 has 640 divisors, whose sum is σ = 473732199198720. Its totient is φ = 39416712192000.

The previous prime is 140460145890767. The next prime is 140460145890817. The reversal of 140460145890768 is 867098541064041.

140460145890768 is a `hidden beast` number, since 1 + 4 + 0 + 46 + 0 + 1 + 4 + 589 + 0 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140460145890763) 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, 586909180 + ... + 587148452.

It is an arithmetic number, because the mean of its divisors is an integer number (740206561248).

Almost surely, 2^{140460145890768} is an apocalyptic number.

140460145890768 is a gapful number since it is divisible by the number (18) 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 140460145890768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236866099599360).

140460145890768 is an abundant number, since it is smaller than the sum of its proper divisors (333272053307952).

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

140460145890768 is a wasteful number, since it uses less digits than its factorization.

140460145890768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239496 (or 239484 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 140460145890768 in words is "one hundred forty trillion, four hundred sixty billion, one hundred forty-five million, eight hundred ninety thousand, seven hundred sixty-eight".