140956778016 has 120 divisors (see below), whose sum is σ = 415211759424. Its totient is φ = 46910586240.

The previous prime is 140956778003. The next prime is 140956778051. The reversal of 140956778016 is 610877659041.

140956778016 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 567 + 78 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 1592461 + ... + 1678643.

Almost surely, 2^140956778016 is an apocalyptic number.

140956778016 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 140956778016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207605879712).

140956778016 is an abundant number, since it is smaller than the sum of its proper divisors (274254981408).

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

140956778016 is an equidigital number, since it uses as much as digits as its factorization.

140956778016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86836 (or 86819 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 140956778016 in words is "one hundred forty billion, nine hundred fifty-six million, seven hundred seventy-eight thousand, sixteen".