5464001456 has 40 divisors (see below), whose sum is σ = 11200376880. Its totient is φ = 2575044864.

The previous prime is 5464001429. The next prime is 5464001461. The reversal of 5464001456 is 6541004645.

It is a super-2 number, since 2×5464001456² = 59710623822340239872, which contains 22 as substring.

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, 14270 + ... + 105506.

It is an arithmetic number, because the mean of its divisors is an integer number (280009422).

Almost surely, 2^5464001456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5464001456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600188440).

5464001456 is an abundant number, since it is smaller than the sum of its proper divisors (5736375424).

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

5464001456 is a wasteful number, since it uses less digits than its factorization.

5464001456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91461 (or 91455 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 5464001456 is about 73918.8842989395. The cubic root of 5464001456 is about 1761.3146015144.

The spelling of 5464001456 in words is "five billion, four hundred sixty-four million, one thousand, four hundred fifty-six".