61898382000 has 1920 divisors, whose sum is σ = 292013309952. Its totient is φ = 11860992000.

The previous prime is 61898381999. The next prime is 61898382011. The reversal of 61898382000 is 28389816.

61898382000 is a `hidden beast` number, since 618 + 9 + 8 + 3 + 8 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1167893974 + ... + 1167894026.

Almost surely, 2^61898382000 is an apocalyptic number.

61898382000 is a gapful number since it is divisible by the number (60) 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 61898382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146006654976).

61898382000 is an abundant number, since it is smaller than the sum of its proper divisors (230114927952).

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

61898382000 is a wasteful number, since it uses less digits than its factorization.

61898382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 61898382000 in words is "sixty-one billion, eight hundred ninety-eight million, three hundred eighty-two thousand".