14768054973720 has 192 divisors, whose sum is σ = 49579070112000. Its totient is φ = 3808447303680.

The previous prime is 14768054973697. The next prime is 14768054973743. The reversal of 14768054973720 is 2737945086741.

14768054973720 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 80 + 549 + 7 + 3 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14768054973697) and next prime (14768054973743).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15530556 + ... + 16454004.

It is an arithmetic number, because the mean of its divisors is an integer number (258224323500).

It is a 1-persistent number, because it is pandigital, but 2⋅14768054973720 = 29536109947440 is not.

Almost surely, 2^{14768054973720} is an apocalyptic number.

14768054973720 is a gapful number since it is divisible by the number (10) 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 14768054973720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24789535056000).

14768054973720 is an abundant number, since it is smaller than the sum of its proper divisors (34811015138280).

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

14768054973720 is a wasteful number, since it uses less digits than its factorization.

14768054973720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924930 (or 924923 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 14768054973720 in words is "fourteen trillion, seven hundred sixty-eight billion, fifty-four million, nine hundred seventy-three thousand, seven hundred twenty".