10152346248 has 320 divisors, whose sum is σ = 31885920000. Its totient is φ = 3017139840.

The previous prime is 10152346213. The next prime is 10152346261. The reversal of 10152346248 is 84264325101.

It is a happy number.

10152346248 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 23 + 4 + 624 + 8 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68136478 + ... + 68136626.

It is an arithmetic number, because the mean of its divisors is an integer number (99643500).

Almost surely, 2^10152346248 is an apocalyptic number.

10152346248 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 10152346248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15942960000).

10152346248 is an abundant number, since it is smaller than the sum of its proper divisors (21733573752).

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

10152346248 is a wasteful number, since it uses less digits than its factorization.

10152346248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10152346248 in words is "ten billion, one hundred fifty-two million, three hundred forty-six thousand, two hundred forty-eight".