140921254656 has 1440 divisors, whose sum is σ = 574393171968. Its totient is φ = 33283768320.

The previous prime is 140921254631. The next prime is 140921254681. The reversal of 140921254656 is 656452129041.

140921254656 is a `hidden beast` number, since 1 + 4 + 0 + 92 + 12 + 546 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (140921254631) and next prime (140921254681).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 737807521 + ... + 737807711.

Almost surely, 2^140921254656 is an apocalyptic number.

140921254656 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 140921254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287196585984).

140921254656 is an abundant number, since it is smaller than the sum of its proper divisors (433471917312).

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

140921254656 is a wasteful number, since it uses less digits than its factorization.

140921254656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 140921254656 in words is "one hundred forty billion, nine hundred twenty-one million, two hundred fifty-four thousand, six hundred fifty-six".