38245383225 has 480 divisors, whose sum is σ = 90744192000. Its totient is φ = 15850598400.

The previous prime is 38245383149. The next prime is 38245383229. The reversal of 38245383225 is 52238354283.

38245383225 is a `hidden beast` number, since 3 + 8 + 2 + 45 + 383 + 225 = 666.

It is not a de Polignac number, because 38245383225 - 2¹¹ = 38245381177 is a prime.

It is a super-2 number, since 2×38245383225² (a number of 22 digits) contains 22 as substring.

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

Its product of digits (1382400) is a multiple of the sum of its prime factors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38245383229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 484118736 + ... + 484118814.

It is an arithmetic number, because the mean of its divisors is an integer number (189050400).

Almost surely, 2^38245383225 is an apocalyptic number.

38245383225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38245383225 is an abundant number, since it is smaller than the sum of its proper divisors (52498808775).

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

38245383225 is a wasteful number, since it uses less digits than its factorization.

38245383225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 38245383225 in words is "thirty-eight billion, two hundred forty-five million, three hundred eighty-three thousand, two hundred twenty-five".