234070849393920 has 6912 divisors, whose sum is σ = 1145522746368000. Its totient is φ = 43553217576960.

The previous prime is 234070849393751. The next prime is 234070849394023. The reversal of 234070849393920 is 29393948070432.

234070849393920 is a `hidden beast` number, since 2 + 3 + 40 + 70 + 8 + 493 + 9 + 39 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1683962945211 + ... + 1683962945349.

It is an arithmetic number, because the mean of its divisors is an integer number (165729564000).

Almost surely, 2^{234070849393920} is an apocalyptic number.

234070849393920 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 234070849393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572761373184000).

234070849393920 is an abundant number, since it is smaller than the sum of its proper divisors (911451896974080).

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

234070849393920 is a wasteful number, since it uses less digits than its factorization.

234070849393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 234070849393920 in words is "two hundred thirty-four trillion, seventy billion, eight hundred forty-nine million, three hundred ninety-three thousand, nine hundred twenty".