1014475968 has 336 divisors, whose sum is σ = 3490569600. Its totient is φ = 285742080.

The previous prime is 1014475937. The next prime is 1014475991. The reversal of 1014475968 is 8695744101.

1014475968 is a `hidden beast` number, since 1 + 0 + 14 + 47 + 596 + 8 = 666.

It is a super-2 number, since 2×1014475968² = 2058322979299074048, which contains 22 as substring.

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, 19141030 + ... + 19141082.

It is an arithmetic number, because the mean of its divisors is an integer number (10388600).

Almost surely, 2^1014475968 is an apocalyptic number.

1014475968 is a gapful number since it is divisible by the number (18) 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 1014475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745284800).

1014475968 is an abundant number, since it is smaller than the sum of its proper divisors (2476093632).

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

1014475968 is a wasteful number, since it uses less digits than its factorization.

1014475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1014475968 is about 31850.8393609964. The cubic root of 1014475968 is about 1004.8022243923.

The spelling of 1014475968 in words is "one billion, fourteen million, four hundred seventy-five thousand, nine hundred sixty-eight".