61852033152 has 384 divisors, whose sum is σ = 220433391360. Its totient is φ = 16210354176.

The previous prime is 61852033099. The next prime is 61852033153. The reversal of 61852033152 is 25133025816.

61852033152 is a `hidden beast` number, since 61 + 85 + 203 + 315 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×61852033152² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (61852033153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17505178 + ... + 17508710.

It is an arithmetic number, because the mean of its divisors is an integer number (574045290).

Almost surely, 2^61852033152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61852033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110216695680).

61852033152 is an abundant number, since it is smaller than the sum of its proper divisors (158581358208).

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

61852033152 is a wasteful number, since it uses less digits than its factorization.

61852033152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 61852033152 its reverse (25133025816), we get a palindrome (86985058968).

The spelling of 61852033152 in words is "sixty-one billion, eight hundred fifty-two million, thirty-three thousand, one hundred fifty-two".