4768157914000 has 160 divisors (see below), whose sum is σ = 12463511284224. Its totient is φ = 1753853990400.

The previous prime is 4768157913929. The next prime is 4768157914057. The reversal of 4768157914000 is 4197518674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 6489349 + ... + 7186651.

Almost surely, 2^{4768157914000} is an apocalyptic number.

4768157914000 is a gapful number since it is divisible by the number (40) 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 4768157914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231755642112).

4768157914000 is an abundant number, since it is smaller than the sum of its proper divisors (7695353370224).

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

4768157914000 is a wasteful number, since it uses less digits than its factorization.

4768157914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697602 (or 697586 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 4768157914000 in words is "four trillion, seven hundred sixty-eight billion, one hundred fifty-seven million, nine hundred fourteen thousand".