45491846400 has 1728 divisors, whose sum is σ = 224825610240. Its totient is φ = 8692531200.

The previous prime is 45491846399. The next prime is 45491846419. The reversal of 45491846400 is 464819454.

45491846400 is a `hidden beast` number, since 45 + 491 + 84 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×45491846400³ (a number of 33 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 172972669 + ... + 172972931.

Almost surely, 2^45491846400 is an apocalyptic number.

45491846400 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 45491846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112412805120).

45491846400 is an abundant number, since it is smaller than the sum of its proper divisors (179333763840).

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

45491846400 is a wasteful number, since it uses less digits than its factorization.

45491846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45491846400 in words is "forty-five billion, four hundred ninety-one million, eight hundred forty-six thousand, four hundred".