1464608244100 has 27 divisors (see below), whose sum is σ = 3178226151471. Its totient is φ = 585838456800.

The previous prime is 1464608244083. The next prime is 1464608244103. The reversal of 1464608244100 is 14428064641.

The square root of 1464608244100 is 1210210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 755428675716 + 709179568384 = 869154^2 + 842128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1464608244103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12041590 + ... + 12162610.

Almost surely, 2^{1464608244100} is an apocalyptic number.

1464608244100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1464608244100 is the 1210210-th square number.

It is an amenable number.

1464608244100 is an abundant number, since it is smaller than the sum of its proper divisors (1713617907371).

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

1464608244100 is an frugal number, since it uses more digits than its factorization.

1464608244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242056 (or 121028 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 1464608244100 in words is "one trillion, four hundred sixty-four billion, six hundred eight million, two hundred forty-four thousand, one hundred".