1914941952 has 480 divisors, whose sum is σ = 7221234240. Its totient is φ = 495452160.

The previous prime is 1914941933. The next prime is 1914941983. The reversal of 1914941952 is 2591494191.

1914941952 is a `hidden beast` number, since 191 + 49 + 419 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1914941898 and 1914941907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7451008 + ... + 7451264.

It is an arithmetic number, because the mean of its divisors is an integer number (15044238).

Almost surely, 2^1914941952 is an apocalyptic number.

1914941952 is a gapful number since it is divisible by the number (12) 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 1914941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610617120).

1914941952 is an abundant number, since it is smaller than the sum of its proper divisors (5306292288).

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

1914941952 is a wasteful number, since it uses less digits than its factorization.

1914941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 1914941952 is about 43760.0497257487. The cubic root of 1914941952 is about 1241.8006167839.

The spelling of 1914941952 in words is "one billion, nine hundred fourteen million, nine hundred forty-one thousand, nine hundred fifty-two".