29814400512 has 160 divisors (see below), whose sum is σ = 95041937760. Its totient is φ = 9173606400.

The previous prime is 29814400489. The next prime is 29814400531. The reversal of 29814400512 is 21500441892.

29814400512 is a `hidden beast` number, since 2 + 98 + 14 + 40 + 0 + 512 = 666.

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 15 ways as a sum of consecutive naturals, for example, 96762 + ... + 262662.

It is an arithmetic number, because the mean of its divisors is an integer number (594012111).

Almost surely, 2^29814400512 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 29814400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520968880).

29814400512 is an abundant number, since it is smaller than the sum of its proper divisors (65227537248).

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

29814400512 is a wasteful number, since it uses less digits than its factorization.

29814400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165941 (or 165919 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 29814400512 in words is "twenty-nine billion, eight hundred fourteen million, four hundred thousand, five hundred twelve".