61512853248 has 1296 divisors, whose sum is σ = 247929024000. Its totient is φ = 14944849920.

The previous prime is 61512853223. The next prime is 61512853279. The reversal of 61512853248 is 84235821516.

61512853248 is a `hidden beast` number, since 6 + 1 + 51 + 28 + 532 + 48 = 666.

It is a super-2 number, since 2×61512853248² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 778643673 + ... + 778643751.

Almost surely, 2^61512853248 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 61512853248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123964512000).

61512853248 is an abundant number, since it is smaller than the sum of its proper divisors (186416170752).

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

61512853248 is a wasteful number, since it uses less digits than its factorization.

61512853248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 61512853248 in words is "sixty-one billion, five hundred twelve million, eight hundred fifty-three thousand, two hundred forty-eight".