10151356154112 has 1152 divisors, whose sum is σ = 33063351552000. Its totient is φ = 3061947432960.

The previous prime is 10151356154089. The next prime is 10151356154141. The reversal of 10151356154112 is 21145165315101.

10151356154112 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 1 + 35 + 615 + 4 + 1 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74097490108 + ... + 74097490244.

It is an arithmetic number, because the mean of its divisors is an integer number (28700826000).

Almost surely, 2^{10151356154112} is an apocalyptic number.

10151356154112 is a gapful number since it is divisible by the number (12) 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 10151356154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16531675776000).

10151356154112 is an abundant number, since it is smaller than the sum of its proper divisors (22911995397888).

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

10151356154112 is a wasteful number, since it uses less digits than its factorization.

10151356154112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 36.

The spelling of 10151356154112 in words is "ten trillion, one hundred fifty-one billion, three hundred fifty-six million, one hundred fifty-four thousand, one hundred twelve".