1914417648 has 240 divisors, whose sum is σ = 6499584000. Its totient is φ = 518054400.

The previous prime is 1914417643. The next prime is 1914417653. The reversal of 1914417648 is 8467144191.

1914417648 is a `hidden beast` number, since 191 + 4 + 417 + 6 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1914417643) and next prime (1914417653).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914417643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636853 + ... + 639851.

It is an arithmetic number, because the mean of its divisors is an integer number (27081600).

Almost surely, 2^1914417648 is an apocalyptic number.

1914417648 is a gapful number since it is divisible by the number (18) 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 1914417648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249792000).

1914417648 is an abundant number, since it is smaller than the sum of its proper divisors (4585166352).

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

1914417648 is a wasteful number, since it uses less digits than its factorization.

1914417648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3059 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1914417648 is about 43754.0586460273. The cubic root of 1914417648 is about 1241.6872729720.

The spelling of 1914417648 in words is "one billion, nine hundred fourteen million, four hundred seventeen thousand, six hundred forty-eight".