1948911456 has 96 divisors (see below), whose sum is σ = 5177571840. Its totient is φ = 641862144.

The previous prime is 1948911449. The next prime is 1948911457. The reversal of 1948911456 is 6541198491.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948911457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4209081 + ... + 4209543.

It is an arithmetic number, because the mean of its divisors is an integer number (53933040).

Almost surely, 2^1948911456 is an apocalyptic number.

1948911456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948911456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588785920).

1948911456 is an abundant number, since it is smaller than the sum of its proper divisors (3228660384).

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

1948911456 is a wasteful number, since it uses less digits than its factorization.

1948911456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its digits is 311040, while the sum is 48.

The square root of 1948911456 is about 44146.4772773548. The cubic root of 1948911456 is about 1249.1004634358.

The spelling of 1948911456 in words is "one billion, nine hundred forty-eight million, nine hundred eleven thousand, four hundred fifty-six".