29957462661456 has 320 divisors, whose sum is σ = 99336182077440. Its totient is φ = 8542987868160.

The previous prime is 29957462661437. The next prime is 29957462661457. The reversal of 29957462661456 is 65416626475992.

It is a happy number.

29957462661456 is a `hidden beast` number, since 2 + 9 + 9 + 57 + 4 + 62 + 6 + 61 + 456 = 666.

It is a super-2 number, since 2×29957462661456² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29957462661457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 888849501 + ... + 888883203.

It is an arithmetic number, because the mean of its divisors is an integer number (310425568992).

Almost surely, 2^{29957462661456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29957462661456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49668091038720).

29957462661456 is an abundant number, since it is smaller than the sum of its proper divisors (69378719415984).

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

29957462661456 is a wasteful number, since it uses less digits than its factorization.

29957462661456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44751 (or 44739 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 29957462661456 in words is "twenty-nine trillion, nine hundred fifty-seven billion, four hundred sixty-two million, six hundred sixty-one thousand, four hundred fifty-six".