4148390464 has 63 divisors (see below), whose sum is σ = 8419123497. Its totient is φ = 2028079104.

The previous prime is 4148390447. The next prime is 4148390489. The reversal of 4148390464 is 4640938414.

The square root of 4148390464 is 64408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1862785600 + 2285604864 = 43160^2 + 47808^2 .

It is a super-2 number, since 2×4148390464² = 34418286883612270592, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4148390464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42766864 + ... + 42766960.

Almost surely, 2^4148390464 is an apocalyptic number.

4148390464 is the 64408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4148390464

4148390464 is an abundant number, since it is smaller than the sum of its proper divisors (4270733033).

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

4148390464 is an frugal number, since it uses more digits than its factorization.

4148390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The cubic root of 4148390464 is about 1606.7927953950.

The spelling of 4148390464 in words is "four billion, one hundred forty-eight million, three hundred ninety thousand, four hundred sixty-four".