230614377480 has 288 divisors, whose sum is σ = 783956759040. Its totient is φ = 60971460480.

The previous prime is 230614377479. The next prime is 230614377491. The reversal of 230614377480 is 84773416032.

230614377480 is a `hidden beast` number, since 2 + 3 + 0 + 61 + 43 + 77 + 480 = 666.

It is a super-2 number, since 2×230614377480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156773145 + ... + 156774615.

It is an arithmetic number, because the mean of its divisors is an integer number (2722072080).

Almost surely, 2^230614377480 is an apocalyptic number.

230614377480 is a gapful number since it is divisible by the number (20) 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 230614377480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391978379520).

230614377480 is an abundant number, since it is smaller than the sum of its proper divisors (553342381560).

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

230614377480 is a wasteful number, since it uses less digits than its factorization.

230614377480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 230614377480 in words is "two hundred thirty billion, six hundred fourteen million, three hundred seventy-seven thousand, four hundred eighty".