45394272000 has 1728 divisors, whose sum is σ = 214888826880. Its totient is φ = 8921088000.

The previous prime is 45394271983. The next prime is 45394272013. The reversal of 45394272000 is 27249354.

45394272000 is a `hidden beast` number, since 45 + 394 + 27 + 200 + 0 = 666.

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

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, 510047956 + ... + 510048044.

It is an arithmetic number, because the mean of its divisors is an integer number (124356960).

Almost surely, 2^45394272000 is an apocalyptic number.

45394272000 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 45394272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107444413440).

45394272000 is an abundant number, since it is smaller than the sum of its proper divisors (169494554880).

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

45394272000 is a wasteful number, since it uses less digits than its factorization.

45394272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 45 and 394272000, that multiplied together give a square (17742240000 = 133200²).

The spelling of 45394272000 in words is "forty-five billion, three hundred ninety-four million, two hundred seventy-two thousand".