10148401872 has 400 divisors, whose sum is σ = 37101411072. Its totient is φ = 2609418240.

The previous prime is 10148401867. The next prime is 10148401903. The reversal of 10148401872 is 27810484101.

10148401872 is a `hidden beast` number, since 101 + 484 + 0 + 1 + 8 + 72 = 666.

It is a super-2 number, since 2×10148401872² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3545722 + ... + 3548582.

Almost surely, 2^10148401872 is an apocalyptic number.

10148401872 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 10148401872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550705536).

10148401872 is an abundant number, since it is smaller than the sum of its proper divisors (26953009200).

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

10148401872 is a wasteful number, since it uses less digits than its factorization.

10148401872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 10148401872 its reverse (27810484101), we get a palindrome (37958885973).

The spelling of 10148401872 in words is "ten billion, one hundred forty-eight million, four hundred one thousand, eight hundred seventy-two".