1101807738864 has 320 divisors, whose sum is σ = 3636475822080. Its totient is φ = 312885504000.

The previous prime is 1101807738851. The next prime is 1101807738883. The reversal of 1101807738864 is 4688377081011.

1101807738864 is a `hidden beast` number, since 1 + 10 + 180 + 77 + 388 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1101807738864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367145364 + ... + 367148364.

It is an arithmetic number, because the mean of its divisors is an integer number (11363986944).

Almost surely, 2^{1101807738864} is an apocalyptic number.

1101807738864 is a gapful number since it is divisible by the number (14) 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 1101807738864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818237911040).

1101807738864 is an abundant number, since it is smaller than the sum of its proper divisors (2534668083216).

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

1101807738864 is a wasteful number, since it uses less digits than its factorization.

1101807738864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1101807738864 in words is "one trillion, one hundred one billion, eight hundred seven million, seven hundred thirty-eight thousand, eight hundred sixty-four".