61818748992 has 1512 divisors, whose sum is σ = 262361281728. Its totient is φ = 14041589760.

The previous prime is 61818748991. The next prime is 61818748993. The reversal of 61818748992 is 29984781816.

61818748992 is a `hidden beast` number, since 61 + 8 + 1 + 8 + 7 + 489 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (61818748991) and next prime (61818748993).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61818748991) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3253618359 + ... + 3253618377.

Almost surely, 2^61818748992 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 61818748992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131180640864).

61818748992 is an abundant number, since it is smaller than the sum of its proper divisors (200542532736).

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

61818748992 is a wasteful number, since it uses less digits than its factorization.

61818748992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 55 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 61818748992 in words is "sixty-one billion, eight hundred eighteen million, seven hundred forty-eight thousand, nine hundred ninety-two".