616947749616 has 80 divisors (see below), whose sum is σ = 1738934201088. Its totient is φ = 186925555200.

The previous prime is 616947749609. The next prime is 616947749617.

616947749616 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×616947749616³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616947749617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3542860 + ... + 3712916.

Almost surely, 2^616947749616 is an apocalyptic number.

616947749616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

616947749616 is the 453486-th octagonal number.

It is an amenable number.

616947749616 is an abundant number, since it is smaller than the sum of its proper divisors (1121986451472).

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

616947749616 is a wasteful number, since it uses less digits than its factorization.

616947749616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176950 (or 176944 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 66.

The spelling of 616947749616 in words is "six hundred sixteen billion, nine hundred forty-seven million, seven hundred forty-nine thousand, six hundred sixteen".