101409457968 has 360 divisors, whose sum is σ = 353629637088. Its totient is φ = 26417774592.

The previous prime is 101409457949. The next prime is 101409457979. The reversal of 101409457968 is 869754904101.

101409457968 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 9 + 4 + 579 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103796296 + ... + 103797272.

Almost surely, 2^101409457968 is an apocalyptic number.

101409457968 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 101409457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176814818544).

101409457968 is an abundant number, since it is smaller than the sum of its proper divisors (252220179120).

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

101409457968 is a wasteful number, since it uses less digits than its factorization.

101409457968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 101409457968 in words is "one hundred one billion, four hundred nine million, four hundred fifty-seven thousand, nine hundred sixty-eight".