29997512145952 has 48 divisors (see below), whose sum is σ = 64230202458072. Its totient is φ = 13707926323200.

The previous prime is 29997512145943. The next prime is 29997512145967. The reversal of 29997512145952 is 25954121579992.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21080623380496 + 8916888765456 = 4591364^2 + 2986116^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356935233 + ... + 357019264.

Almost surely, 2^{29997512145952} is an apocalyptic number.

It is an amenable number.

29997512145952 is an abundant number, since it is smaller than the sum of its proper divisors (34232690312120).

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

29997512145952 is a wasteful number, since it uses less digits than its factorization.

29997512145952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713954621 (or 713954613 counting only the distinct ones).

The product of its digits is 183708000, while the sum is 70.

The spelling of 29997512145952 in words is "twenty-nine trillion, nine hundred ninety-seven billion, five hundred twelve million, one hundred forty-five thousand, nine hundred fifty-two".