10461147408 has 200 divisors, whose sum is σ = 32616055296. Its totient is φ = 3227558400.

The previous prime is 10461147401. The next prime is 10461147413. The reversal of 10461147408 is 80474116401.

10461147408 is a `hidden beast` number, since 10 + 461 + 147 + 40 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10461147401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 918388 + ... + 929708.

Almost surely, 2^10461147408 is an apocalyptic number.

10461147408 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 10461147408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16308027648).

10461147408 is an abundant number, since it is smaller than the sum of its proper divisors (22154907888).

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

10461147408 is a wasteful number, since it uses less digits than its factorization.

10461147408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11395 (or 11380 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10461147408 in words is "ten billion, four hundred sixty-one million, one hundred forty-seven thousand, four hundred eight".