1868977152 has 528 divisors, whose sum is σ = 6795384960. Its totient is φ = 501645312.

The previous prime is 1868977133. The next prime is 1868977157. The reversal of 1868977152 is 2517798681.

It is a super-2 number, since 2×1868977152² = 6986151189396062208, which contains 22 as substring.

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

Its product of digits (1693440) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868977157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50512878 + ... + 50512914.

Almost surely, 2^1868977152 is an apocalyptic number.

1868977152 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 1868977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397692480).

1868977152 is an abundant number, since it is smaller than the sum of its proper divisors (4926407808).

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

1868977152 is an equidigital number, since it uses as much as digits as its factorization.

1868977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 54.

The square root of 1868977152 is about 43231.6683925106. The cubic root of 1868977152 is about 1231.7842991121.

The spelling of 1868977152 in words is "one billion, eight hundred sixty-eight million, nine hundred seventy-seven thousand, one hundred fifty-two".