10046497600 has 84 divisors (see below), whose sum is σ = 24767241804. Its totient is φ = 4011028480.

The previous prime is 10046497567. The next prime is 10046497603. The reversal of 10046497600 is 679464001.

It can be written as a sum of positive squares in 6 ways, for example, as 2430095616 + 7616401984 = 49296^2 + 87272^2 .

It is a super-2 number, since 2×10046497600² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10046497600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10046497603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 885564 + ... + 896836.

Almost surely, 2^10046497600 is an apocalyptic number.

10046497600 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 10046497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383620902).

10046497600 is an abundant number, since it is smaller than the sum of its proper divisors (14720744204).

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

10046497600 is a wasteful number, since it uses less digits than its factorization.

10046497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 10046497600 in words is "ten billion, forty-six million, four hundred ninety-seven thousand, six hundred".