45198950400 has 720 divisors, whose sum is σ = 171300633280. Its totient is φ = 11678515200.

The previous prime is 45198950393. The next prime is 45198950449. The reversal of 45198950400 is 405989154.

45198950400 is a `hidden beast` number, since 4 + 5 + 198 + 9 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674611167 + ... + 674611233.

Almost surely, 2^45198950400 is an apocalyptic number.

45198950400 is a gapful number since it is divisible by the number (40) 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 45198950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85650316640).

45198950400 is an abundant number, since it is smaller than the sum of its proper divisors (126101682880).

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

45198950400 is an equidigital number, since it uses as much as digits as its factorization.

45198950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 45198950400 in words is "forty-five billion, one hundred ninety-eight million, nine hundred fifty thousand, four hundred".