247656401616 has 80 divisors (see below), whose sum is σ = 689904287744. Its totient is φ = 76101161472.

The previous prime is 247656401579. The next prime is 247656401623. The reversal of 247656401616 is 616104656742.

247656401616 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247656401616² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 210225 + ... + 734511.

Almost surely, 2^247656401616 is an apocalyptic number.

247656401616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247656401616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344952143872).

247656401616 is an abundant number, since it is smaller than the sum of its proper divisors (442247886128).

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

247656401616 is a wasteful number, since it uses less digits than its factorization.

247656401616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525068 (or 525062 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 247656401616 in words is "two hundred forty-seven billion, six hundred fifty-six million, four hundred one thousand, six hundred sixteen".