61514926848 has 144 divisors (see below), whose sum is σ = 182241813600. Its totient is φ = 20467630080.

The previous prime is 61514926831. The next prime is 61514926871. The reversal of 61514926848 is 84862941516.

61514926848 is a `hidden beast` number, since 6 + 1 + 51 + 492 + 68 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×61514926848³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61514926794 and 61514926803.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3925108 + ... + 3940748.

It is an arithmetic number, because the mean of its divisors is an integer number (1265568150).

Almost surely, 2^61514926848 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 61514926848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91120906800).

61514926848 is an abundant number, since it is smaller than the sum of its proper divisors (120726886752).

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

61514926848 is a wasteful number, since it uses less digits than its factorization.

61514926848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16235 (or 16215 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 61514926848 in words is "sixty-one billion, five hundred fourteen million, nine hundred twenty-six thousand, eight hundred forty-eight".