230154602496 has 768 divisors, whose sum is σ = 798400512000. Its totient is φ = 58525286400.

The previous prime is 230154602471. The next prime is 230154602533. The reversal of 230154602496 is 694206451032.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×230154602496² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849278841 + ... + 849279111.

It is an arithmetic number, because the mean of its divisors is an integer number (1039584000).

Almost surely, 2^230154602496 is an apocalyptic number.

230154602496 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 230154602496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399200256000).

230154602496 is an abundant number, since it is smaller than the sum of its proper divisors (568245909504).

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

230154602496 is a wasteful number, since it uses less digits than its factorization.

230154602496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 230154602496 in words is "two hundred thirty billion, one hundred fifty-four million, six hundred two thousand, four hundred ninety-six".