10464787152 has 60 divisors (see below), whose sum is σ = 29298659364. Its totient is φ = 3486858240.

The previous prime is 10464787133. The next prime is 10464787153. The reversal of 10464787152 is 25178746401.

10464787152 is a `hidden beast` number, since 1 + 0 + 464 + 78 + 71 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2423002176 + 8041784976 = 49224^2 + 89676^2 .

It is a super-2 number, since 2×10464787152² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10464787098 and 10464787107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10464787153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 381448 + ... + 407960.

Almost surely, 2^10464787152 is an apocalyptic number.

10464787152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10464787152 is an abundant number, since it is smaller than the sum of its proper divisors (18833872212).

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

10464787152 is a wasteful number, since it uses less digits than its factorization.

10464787152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29268 (or 29259 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 10464787152 in words is "ten billion, four hundred sixty-four million, seven hundred eighty-seven thousand, one hundred fifty-two".