10148159250432 has 840 divisors, whose sum is σ = 35731875303696. Its totient is φ = 2821109907456.

The previous prime is 10148159250403. The next prime is 10148159250487. The reversal of 10148159250432 is 23405295184101.

10148159250432 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 8 + 1 + 592 + 50 + 4 + 3 + 2 = 666.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 274274574318 + ... + 274274574354.

Almost surely, 2^{10148159250432} is an apocalyptic number.

10148159250432 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 10148159250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865937651848).

10148159250432 is an abundant number, since it is smaller than the sum of its proper divisors (25583716053264).

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

10148159250432 is an frugal number, since it uses more digits than its factorization.

10148159250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10148159250432 in words is "ten trillion, one hundred forty-eight billion, one hundred fifty-nine million, two hundred fifty thousand, four hundred thirty-two".