45714715200000 has 3360 divisors, whose sum is σ = 213830397728640. Its totient is φ = 9480499200000.

The previous prime is 45714715199983. The next prime is 45714715200001. The reversal of 45714715200000 is 251741754.

45714715200000 is a `hidden beast` number, since 4 + 57 + 14 + 71 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×45714715200000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45714715200001) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 89812799746 + ... + 89812800254.

It is an arithmetic number, because the mean of its divisors is an integer number (63639999324).

Almost surely, 2^{45714715200000} is an apocalyptic number.

45714715200000 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 45714715200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106915198864320).

45714715200000 is an abundant number, since it is smaller than the sum of its proper divisors (168115682528640).

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

45714715200000 is an frugal number, since it uses more digits than its factorization.

45714715200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 45714715200000 its reverse (251741754), we get a palindrome (45714966941754).

The spelling of 45714715200000 in words is "forty-five trillion, seven hundred fourteen billion, seven hundred fifteen million, two hundred thousand".