1916007456 has 96 divisors (see below), whose sum is σ = 5725375488. Its totient is φ = 555357440.

The previous prime is 1916007451. The next prime is 1916007463. The reversal of 1916007456 is 6547006191.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1916007451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15156 + ... + 63731.

It is an arithmetic number, because the mean of its divisors is an integer number (59639328).

Almost surely, 2^1916007456 is an apocalyptic number.

1916007456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1916007456 is an abundant number, since it is smaller than the sum of its proper divisors (3809368032).

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

1916007456 is a wasteful number, since it uses less digits than its factorization.

1916007456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78934 (or 78926 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1916007456 is about 43772.2224247296. Note that the first 3 decimals coincide. The cubic root of 1916007456 is about 1242.0308932496.

The spelling of 1916007456 in words is "one billion, nine hundred sixteen million, seven thousand, four hundred fifty-six".