10098450432 has 336 divisors, whose sum is σ = 35330660352. Its totient is φ = 2713190400.

The previous prime is 10098450431. The next prime is 10098450451. The reversal of 10098450432 is 23405489001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10098450432² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10098450431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8773057 + ... + 8774207.

Almost surely, 2^10098450432 is an apocalyptic number.

10098450432 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 10098450432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17665330176).

10098450432 is an abundant number, since it is smaller than the sum of its proper divisors (25232209920).

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

10098450432 is a wasteful number, since it uses less digits than its factorization.

10098450432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10098450432 in words is "ten billion, ninety-eight million, four hundred fifty thousand, four hundred thirty-two".