61848169812000 has 5760 divisors, whose sum is σ = 294401089382400. Its totient is φ = 12521226240000.

The previous prime is 61848169811963. The next prime is 61848169812053. The reversal of 61848169812000 is 21896184816.

It is a happy number.

61848169812000 is a `hidden beast` number, since 6 + 1 + 8 + 481 + 69 + 81 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×61848169812000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 415088387926 + ... + 415088388074.

It is an arithmetic number, because the mean of its divisors is an integer number (51111300240).

Almost surely, 2^{61848169812000} is an apocalyptic number.

61848169812000 is a gapful number since it is divisible by the number (60) 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 61848169812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147200544691200).

61848169812000 is an abundant number, since it is smaller than the sum of its proper divisors (232552919570400).

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

61848169812000 is a wasteful number, since it uses less digits than its factorization.

61848169812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 61848169812000 in words is "sixty-one trillion, eight hundred forty-eight billion, one hundred sixty-nine million, eight hundred twelve thousand".