2349090053856 has 1440 divisors, whose sum is σ = 9211355112960. Its totient is φ = 580434978816.

The previous prime is 2349090053797. The next prime is 2349090053929. The reversal of 2349090053856 is 6583500909432.

2349090053856 is a `hidden beast` number, since 23 + 490 + 9 + 0 + 0 + 53 + 85 + 6 = 666.

It is a super-2 number, since 2×2349090053856² (a number of 26 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 3231210165 + ... + 3231210891.

It is an arithmetic number, because the mean of its divisors is an integer number (6396774384).

Almost surely, 2^{2349090053856} is an apocalyptic number.

2349090053856 is a gapful number since it is divisible by the number (26) 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 2349090053856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605677556480).

2349090053856 is an abundant number, since it is smaller than the sum of its proper divisors (6862265059104).

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

2349090053856 is a wasteful number, since it uses less digits than its factorization.

2349090053856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 2349090053856 in words is "two trillion, three hundred forty-nine billion, ninety million, fifty-three thousand, eight hundred fifty-six".