45192201600 has 1152 divisors, whose sum is σ = 195699974400. Its totient is φ = 8924037120.

The previous prime is 45192201599. The next prime is 45192201623. The reversal of 45192201600 is 610229154.

It is a super-3 number, since 3×45192201600³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 252470311 + ... + 252470489.

It is an arithmetic number, because the mean of its divisors is an integer number (169878450).

Almost surely, 2^45192201600 is an apocalyptic number.

45192201600 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 45192201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97849987200).

45192201600 is an abundant number, since it is smaller than the sum of its proper divisors (150507772800).

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

45192201600 is a wasteful number, since it uses less digits than its factorization.

45192201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 45192201600 in words is "forty-five billion, one hundred ninety-two million, two hundred one thousand, six hundred".