14630287672 has 128 divisors (see below), whose sum is σ = 38433346560. Its totient is φ = 5032811520.

The previous prime is 14630287663. The next prime is 14630287687. The reversal of 14630287672 is 27678203641.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144468 + ... + 223900.

It is an arithmetic number, because the mean of its divisors is an integer number (300260520).

Almost surely, 2^14630287672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14630287672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19216673280).

14630287672 is an abundant number, since it is smaller than the sum of its proper divisors (23803058888).

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

14630287672 is a wasteful number, since it uses less digits than its factorization.

14630287672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79493 (or 79489 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 14630287672 in words is "fourteen billion, six hundred thirty million, two hundred eighty-seven thousand, six hundred seventy-two".