10229961654144 has 128 divisors (see below), whose sum is σ = 31008611632800. Its totient is φ = 3317825359872.

The previous prime is 10229961654139. The next prime is 10229961654149. The reversal of 10229961654144 is 44145616992201.

10229961654144 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 9 + 9 + 616 + 5 + 4 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10229961654139) and next prime (10229961654149).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10229961654149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39872917 + ... + 40128660.

Almost surely, 2^{10229961654144} is an apocalyptic number.

It is an amenable number.

10229961654144 is an abundant number, since it is smaller than the sum of its proper divisors (20778649978656).

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

10229961654144 is an equidigital number, since it uses as much as digits as its factorization.

10229961654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80001637 (or 80001619 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10229961654144 in words is "ten trillion, two hundred twenty-nine billion, nine hundred sixty-one million, six hundred fifty-four thousand, one hundred forty-four".