10046637003132 has 144 divisors (see below), whose sum is σ = 26557827179520. Its totient is φ = 3196271954304.

The previous prime is 10046637003059. The next prime is 10046637003163. The reversal of 10046637003132 is 23130073664001.

10046637003132 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 6 + 637 + 0 + 0 + 3 + 13 + 2 = 666.

It is a super-2 number, since 2×10046637003132² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811974498 + ... + 811986870.

Almost surely, 2^{10046637003132} is an apocalyptic number.

10046637003132 is a gapful number since it is divisible by the number (12) 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 10046637003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278913589760).

10046637003132 is an abundant number, since it is smaller than the sum of its proper divisors (16511190176388).

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

10046637003132 is a wasteful number, since it uses less digits than its factorization.

10046637003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472 (or 14467 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10046637003132 in words is "ten trillion, forty-six billion, six hundred thirty-seven million, three thousand, one hundred thirty-two".