234729286426656 has 1728 divisors, whose sum is σ = 868609622200320. Its totient is φ = 59681056296960.

The previous prime is 234729286426603. The next prime is 234729286426673. The reversal of 234729286426656 is 656624682927432.

234729286426656 is a `hidden beast` number, since 2 + 3 + 4 + 72 + 9 + 2 + 86 + 426 + 6 + 56 = 666.

It is a super-2 number, since 2×234729286426656² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 197750030095 + ... + 197750031281.

It is an arithmetic number, because the mean of its divisors is an integer number (502667605440).

Almost surely, 2^{234729286426656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234729286426656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434304811100160).

234729286426656 is an abundant number, since it is smaller than the sum of its proper divisors (633880335773664).

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

234729286426656 is a wasteful number, since it uses less digits than its factorization.

234729286426656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1929 counting only the distinct ones).

The product of its digits is 2508226560, while the sum is 72.

The spelling of 234729286426656 in words is "two hundred thirty-four trillion, seven hundred twenty-nine billion, two hundred eighty-six million, four hundred twenty-six thousand, six hundred fifty-six".