226014053001984 has 864 divisors, whose sum is σ = 750388110151680. Its totient is φ = 64879961997312.

The previous prime is 226014053001983. The next prime is 226014053002057. The reversal of 226014053001984 is 489100350410622.

226014053001984 is a `hidden beast` number, since 2 + 2 + 60 + 1 + 40 + 530 + 0 + 19 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (226014053001983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22424248657 + ... + 22424258735.

It is an arithmetic number, because the mean of its divisors is an integer number (868504757120).

Almost surely, 2^{226014053001984} is an apocalyptic number.

226014053001984 is a gapful number since it is divisible by the number (24) 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 226014053001984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375194055075840).

226014053001984 is an abundant number, since it is smaller than the sum of its proper divisors (524374057149696).

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

226014053001984 is a wasteful number, since it uses less digits than its factorization.

226014053001984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937 (or 10920 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 226014053001984 in words is "two hundred twenty-six trillion, fourteen billion, fifty-three million, one thousand, nine hundred eighty-four".