1448917764100 has 27 divisors (see below), whose sum is σ = 3144177668821. Its totient is φ = 579562290800.

The previous prime is 1448917764079. The next prime is 1448917764131. The reversal of 1448917764100 is 14677198441.

The square root of 1448917764100 is 1203710.

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., 521610395076 + 927307369024 = 722226^2 + 962968^2 .

It is a Duffinian number.

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, 11976915 + ... + 12097285.

Almost surely, 2^{1448917764100} is an apocalyptic number.

1448917764100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1448917764100 is the 1203710-th square number.

It is an amenable number.

1448917764100 is an abundant number, since it is smaller than the sum of its proper divisors (1695259904721).

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

1448917764100 is an frugal number, since it uses more digits than its factorization.

1448917764100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240756 (or 120378 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 1448917764100 in words is "one trillion, four hundred forty-eight billion, nine hundred seventeen million, seven hundred sixty-four thousand, one hundred".