11801267457408 has 896 divisors, whose sum is σ = 42841260352800. Its totient is φ = 3187119882240.

The previous prime is 11801267457367. The next prime is 11801267457481. The reversal of 11801267457408 is 80475476210811.

It is a happy number.

11801267457408 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 1 + 2 + 67 + 4 + 574 + 0 + 8 = 666.

11801267457408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 386949616 + ... + 386980112.

Almost surely, 2^{11801267457408} is an apocalyptic number.

11801267457408 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 11801267457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21420630176400).

11801267457408 is an abundant number, since it is smaller than the sum of its proper divisors (31039992895392).

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

11801267457408 is a wasteful number, since it uses less digits than its factorization.

11801267457408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30582 (or 30555 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 11801267457408 in words is "eleven trillion, eight hundred one billion, two hundred sixty-seven million, four hundred fifty-seven thousand, four hundred eight".