1456061516 has 24 divisors (see below), whose sum is σ = 3136133280. Its totient is φ = 576024192.

The previous prime is 1456061461. The next prime is 1456061573. The reversal of 1456061516 is 6151606541.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1999721 + ... + 2000448.

It is an arithmetic number, because the mean of its divisors is an integer number (130672220).

Almost surely, 2^1456061516 is an apocalyptic number.

It is an amenable number.

1456061516 is an abundant number, since it is smaller than the sum of its proper divisors (1680071764).

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

1456061516 is a wasteful number, since it uses less digits than its factorization.

1456061516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000193 (or 4000191 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 1456061516 is about 38158.3741267890. The cubic root of 1456061516 is about 1133.4261835886.

The spelling of 1456061516 in words is "one billion, four hundred fifty-six million, sixty-one thousand, five hundred sixteen".