10149451925868 has 1152 divisors, whose sum is σ = 30919233945600. Its totient is φ = 2897001676800.

The previous prime is 10149451925857. The next prime is 10149451925887. The reversal of 10149451925868 is 86852915494101.

10149451925868 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 4 + 519 + 2 + 58 + 68 = 666.

It is a super-3 number, since 3×10149451925868³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 89818158580 + ... + 89818158692.

It is an arithmetic number, because the mean of its divisors is an integer number (26839612800).

Almost surely, 2^{10149451925868} is an apocalyptic number.

10149451925868 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 10149451925868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459616972800).

10149451925868 is an abundant number, since it is smaller than the sum of its proper divisors (20769782019732).

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

10149451925868 is a wasteful number, since it uses less digits than its factorization.

10149451925868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 10149451925868 in words is "ten trillion, one hundred forty-nine billion, four hundred fifty-one million, nine hundred twenty-five thousand, eight hundred sixty-eight".