29648787304900 has 81 divisors (see below), whose sum is σ = 65240028759591. Its totient is φ = 11695487633280.

The previous prime is 29648787304883. The next prime is 29648787304943. The reversal of 29648787304900 is 940378784692.

It is a happy number.

The square root of 29648787304900 is 5445070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 162236561796 + 29486550743104 = 402786^2 + 5430152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3974897371 + ... + 3974904829.

Almost surely, 2^{29648787304900} is an apocalyptic number.

29648787304900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

29648787304900 is the 5445070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29648787304900

29648787304900 is an abundant number, since it is smaller than the sum of its proper divisors (35591241454691).

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

29648787304900 is an frugal number, since it uses more digits than its factorization.

29648787304900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15078 (or 7539 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 67.

The spelling of 29648787304900 in words is "twenty-nine trillion, six hundred forty-eight billion, seven hundred eighty-seven million, three hundred four thousand, nine hundred".