1802137252968 has 256 divisors, whose sum is σ = 5710297824000. Its totient is φ = 521687457792.

The previous prime is 1802137252933. The next prime is 1802137253039. The reversal of 1802137252968 is 8692527312081.

1802137252968 is a `hidden beast` number, since 1 + 8 + 0 + 21 + 37 + 2 + 529 + 68 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165495268 + ... + 165506156.

It is an arithmetic number, because the mean of its divisors is an integer number (22305850875).

Almost surely, 2^{1802137252968} is an apocalyptic number.

1802137252968 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 1802137252968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855148912000).

1802137252968 is an abundant number, since it is smaller than the sum of its proper divisors (3908160571032).

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

1802137252968 is a wasteful number, since it uses less digits than its factorization.

1802137252968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14401 (or 14391 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1802137252968 in words is "one trillion, eight hundred two billion, one hundred thirty-seven million, two hundred fifty-two thousand, nine hundred sixty-eight".