10198456632000 has 3360 divisors, whose sum is σ = 48850549203456. Its totient is φ = 2079737856000.

The previous prime is 10198456631981. The next prime is 10198456632019. The reversal of 10198456632000 is 23665489101.

10198456632000 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 8 + 4 + 5 + 6 + 632 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10198456631981) and next prime (10198456632019).

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12796055602 + ... + 12796056398.

Almost surely, 2^{10198456632000} is an apocalyptic number.

10198456632000 is a gapful number since it is divisible by the number (10) 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 10198456632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24425274601728).

10198456632000 is an abundant number, since it is smaller than the sum of its proper divisors (38652092571456).

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

10198456632000 is a wasteful number, since it uses less digits than its factorization.

10198456632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10198456632000 in words is "ten trillion, one hundred ninety-eight billion, four hundred fifty-six million, six hundred thirty-two thousand".