10014946029000 has 960 divisors, whose sum is σ = 39521069668080. Its totient is φ = 2362162176000.

The previous prime is 10014946028957. The next prime is 10014946029007. The reversal of 10014946029000 is 92064941001.

It is a happy number.

10014946029000 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 49 + 4 + 602 + 9 + 0 + 0 + 0 = 666.

10014946029000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7555434084 + 10007390594916 = 86922^2 + 3163446^2 .

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 (10014946029007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 362623192 + ... + 362650808.

Almost surely, 2^{10014946029000} is an apocalyptic number.

10014946029000 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 10014946029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19760534834040).

10014946029000 is an abundant number, since it is smaller than the sum of its proper divisors (29506123639080).

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

10014946029000 is a wasteful number, since it uses less digits than its factorization.

10014946029000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27709 (or 27675 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10014946029000 in words is "ten trillion, fourteen billion, nine hundred forty-six million, twenty-nine thousand".