361481551200 has 3456 divisors, whose sum is σ = 1834442588160. Its totient is φ = 67184640000.

The previous prime is 361481551199. The next prime is 361481551201. The reversal of 361481551200 is 2155184163.

361481551200 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 81 + 551 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (361481551199) and next prime (361481551201).

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 (361481551201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8816623180 + ... + 8816623220.

It is an arithmetic number, because the mean of its divisors is an integer number (530799360).

Almost surely, 2^361481551200 is an apocalyptic number.

361481551200 is a gapful number since it is divisible by the number (30) 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 361481551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917221294080).

361481551200 is an abundant number, since it is smaller than the sum of its proper divisors (1472961036960).

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

361481551200 is a wasteful number, since it uses less digits than its factorization.

361481551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 361481551200 in words is "three hundred sixty-one billion, four hundred eighty-one million, five hundred fifty-one thousand, two hundred".