10112946480 has 720 divisors, whose sum is σ = 43498930176. Its totient is φ = 2059499520.

The previous prime is 10112946469. The next prime is 10112946491. The reversal of 10112946480 is 8464921101.

10112946480 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 9 + 4 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10112946469) and next prime (10112946491).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26404369 + ... + 26404751.

Almost surely, 2^10112946480 is an apocalyptic number.

10112946480 is a gapful number since it is divisible by the number (10) 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 10112946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21749465088).

10112946480 is an abundant number, since it is smaller than the sum of its proper divisors (33385983696).

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

10112946480 is a wasteful number, since it uses less digits than its factorization.

10112946480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10112946480 in words is "ten billion, one hundred twelve million, nine hundred forty-six thousand, four hundred eighty".