234545811028480 has 2560 divisors, whose sum is σ = 775334215434240. Its totient is φ = 66072367595520.

The previous prime is 234545811028469. The next prime is 234545811028663. The reversal of 234545811028480 is 84820118545432.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×234545811028480² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 529448783139 + ... + 529448783581.

It is an arithmetic number, because the mean of its divisors is an integer number (302864927904).

Almost surely, 2^{234545811028480} is an apocalyptic number.

234545811028480 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 234545811028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387667107717120).

234545811028480 is an abundant number, since it is smaller than the sum of its proper divisors (540788404405760).

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

234545811028480 is a wasteful number, since it uses less digits than its factorization.

234545811028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 55.

The spelling of 234545811028480 in words is "two hundred thirty-four trillion, five hundred forty-five billion, eight hundred eleven million, twenty-eight thousand, four hundred eighty".