1615634242272 has 72 divisors (see below), whose sum is σ = 4594582707624. Its totient is φ = 538530349824.

The previous prime is 1615634242241. The next prime is 1615634242279. The reversal of 1615634242272 is 2722424365161.

1615634242272 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 634 + 2 + 4 + 2 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1615634242272² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1615634242279) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20504583 + ... + 20583225.

It is an arithmetic number, because the mean of its divisors is an integer number (63813648717).

Almost surely, 2^{1615634242272} is an apocalyptic number.

1615634242272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1615634242272 is an abundant number, since it is smaller than the sum of its proper divisors (2978948465352).

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

1615634242272 is a wasteful number, since it uses less digits than its factorization.

1615634242272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149992 (or 149981 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 1615634242272 in words is "one trillion, six hundred fifteen billion, six hundred thirty-four million, two hundred forty-two thousand, two hundred seventy-two".