226374020760960 has 384 divisors, whose sum is σ = 799989059469600. Its totient is φ = 58954261266432.

The previous prime is 226374020760949. The next prime is 226374020760967. The reversal of 226374020760960 is 69067020473622.

226374020760960 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 7 + 4 + 0 + 20 + 7 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 226374020760897 and 226374020760906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226374020760967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1875620296 + ... + 1875740984.

Almost surely, 2^{226374020760960} is an apocalyptic number.

226374020760960 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 226374020760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399994529734800).

226374020760960 is an abundant number, since it is smaller than the sum of its proper divisors (573615038708640).

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

226374020760960 is a wasteful number, since it uses less digits than its factorization.

226374020760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128330 (or 128315 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 226374020760960 in words is "two hundred twenty-six trillion, three hundred seventy-four billion, twenty million, seven hundred sixty thousand, nine hundred sixty".