20198046000 has 480 divisors, whose sum is σ = 73354305024. Its totient is φ = 4775232000.

The previous prime is 20198045977. The next prime is 20198046013. The reversal of 20198046000 is 64089102.

It is a super-2 number, since 2×20198046000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31217677 + ... + 31218323.

Almost surely, 2^20198046000 is an apocalyptic number.

20198046000 is a gapful number since it is divisible by the number (20) 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 20198046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36677152512).

20198046000 is an abundant number, since it is smaller than the sum of its proper divisors (53156259024).

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

20198046000 is a wasteful number, since it uses less digits than its factorization.

20198046000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 20198046000 in words is "twenty billion, one hundred ninety-eight million, forty-six thousand".