226132462080 has 480 divisors, whose sum is σ = 907348425984. Its totient is φ = 50976718848.

The previous prime is 226132462043. The next prime is 226132462097. The reversal of 226132462080 is 80264231622.

226132462080 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 3 + 24 + 620 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×226132462080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11763837 + ... + 11783043.

Almost surely, 2^226132462080 is an apocalyptic number.

226132462080 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 226132462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453674212992).

226132462080 is an abundant number, since it is smaller than the sum of its proper divisors (681215963904).

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

226132462080 is a wasteful number, since it uses less digits than its factorization.

226132462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19316 (or 19297 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 226132462080 in words is "two hundred twenty-six billion, one hundred thirty-two million, four hundred sixty-two thousand, eighty".