953223014016 has 1152 divisors, whose sum is σ = 3564160704000. Its totient is φ = 239117598720.

The previous prime is 953223013961. The next prime is 953223014027. The reversal of 953223014016 is 610410322359.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×953223014016² (a number of 25 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 143 ways as a sum of consecutive naturals, for example, 3517427961 + ... + 3517428231.

It is an arithmetic number, because the mean of its divisors is an integer number (3093889500).

Almost surely, 2^953223014016 is an apocalyptic number.

953223014016 is a gapful number since it is divisible by the number (96) 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 953223014016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782080352000).

953223014016 is an abundant number, since it is smaller than the sum of its proper divisors (2610937689984).

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

953223014016 is a wasteful number, since it uses less digits than its factorization.

953223014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 953223014016 in words is "nine hundred fifty-three billion, two hundred twenty-three million, fourteen thousand, sixteen".