101614004778960 has 960 divisors, whose sum is σ = 370257901977600. Its totient is φ = 25878853472256.

The previous prime is 101614004778953. The next prime is 101614004778997. The reversal of 101614004778960 is 69877400416101.

101614004778960 is a `hidden beast` number, since 1 + 0 + 1 + 61 + 400 + 47 + 7 + 89 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101614004778897 and 101614004778906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7385268561 + ... + 7385282319.

It is an arithmetic number, because the mean of its divisors is an integer number (385685314560).

Almost surely, 2^{101614004778960} is an apocalyptic number.

101614004778960 is a gapful number since it is divisible by the number (10) 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 101614004778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185128950988800).

101614004778960 is an abundant number, since it is smaller than the sum of its proper divisors (268643897198640).

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

101614004778960 is a wasteful number, since it uses less digits than its factorization.

101614004778960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14030 (or 14012 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 101614004778960 in words is "one hundred one trillion, six hundred fourteen billion, four million, seven hundred seventy-eight thousand, nine hundred sixty".