11821357348416 has 504 divisors, whose sum is σ = 43810455334464. Its totient is φ = 3012544604160.

The previous prime is 11821357348399. The next prime is 11821357348453. The reversal of 11821357348416 is 61484375312811.

11821357348416 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 13 + 573 + 48 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16095381 + ... + 16813803.

It is an arithmetic number, because the mean of its divisors is an integer number (86925506616).

Almost surely, 2^{11821357348416} is an apocalyptic number.

11821357348416 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 11821357348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21905227667232).

11821357348416 is an abundant number, since it is smaller than the sum of its proper divisors (31989097986048).

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

11821357348416 is a wasteful number, since it uses less digits than its factorization.

11821357348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718519 (or 718499 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 11821357348416 in words is "eleven trillion, eight hundred twenty-one billion, three hundred fifty-seven million, three hundred forty-eight thousand, four hundred sixteen".