1954129968 has 160 divisors (see below), whose sum is σ = 6631718400. Its totient is φ = 539046144.

The previous prime is 1954129949. The next prime is 1954130021. The reversal of 1954129968 is 8699214591.

1954129968 is a `hidden beast` number, since 1 + 9 + 541 + 2 + 9 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76555 + ... + 98837.

It is an arithmetic number, because the mean of its divisors is an integer number (41448240).

Almost surely, 2^1954129968 is an apocalyptic number.

1954129968 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 1954129968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315859200).

1954129968 is an abundant number, since it is smaller than the sum of its proper divisors (4677588432).

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

1954129968 is a wasteful number, since it uses less digits than its factorization.

1954129968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22336 (or 22324 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 1954129968 is about 44205.5422769589. The cubic root of 1954129968 is about 1250.2143564123.

The spelling of 1954129968 in words is "one billion, nine hundred fifty-four million, one hundred twenty-nine thousand, nine hundred sixty-eight".