234778309872480 has 768 divisors, whose sum is σ = 906573329464320. Its totient is φ = 56275015680000.

The previous prime is 234778309872467. The next prime is 234778309872511. The reversal of 234778309872480 is 84278903877432.

It is a happy number.

234778309872480 is a `hidden beast` number, since 2 + 3 + 4 + 7 + 78 + 3 + 0 + 9 + 8 + 72 + 480 = 666.

It is a super-2 number, since 2×234778309872480² (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 a junction number, because it is equal to n+sod(n) for n = 234778309872399 and 234778309872408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1633998402 + ... + 1634142078.

It is an arithmetic number, because the mean of its divisors is an integer number (1180434022740).

Almost surely, 2^{234778309872480} is an apocalyptic number.

234778309872480 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 234778309872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453286664732160).

234778309872480 is an abundant number, since it is smaller than the sum of its proper divisors (671795019591840).

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

234778309872480 is a wasteful number, since it uses less digits than its factorization.

234778309872480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144100 (or 144086 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 234778309872480 in words is "two hundred thirty-four trillion, seven hundred seventy-eight billion, three hundred nine million, eight hundred seventy-two thousand, four hundred eighty".