1901656136736 has 480 divisors, whose sum is σ = 5736203827200. Its totient is φ = 617922514944.

The previous prime is 1901656136701. The next prime is 1901656136741. The reversal of 1901656136736 is 6376316561091.

It is a happy number.

1901656136736 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 6 + 561 + 3 + 6 + 73 + 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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6719632851 + ... + 6719633133.

It is an arithmetic number, because the mean of its divisors is an integer number (11950424640).

Almost surely, 2^{1901656136736} is an apocalyptic number.

1901656136736 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 1901656136736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868101913600).

1901656136736 is an abundant number, since it is smaller than the sum of its proper divisors (3834547690464).

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

1901656136736 is a wasteful number, since it uses less digits than its factorization.

1901656136736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 1901656136736 in words is "one trillion, nine hundred one billion, six hundred fifty-six million, one hundred thirty-six thousand, seven hundred thirty-six".