61890283381248 has 400 divisors, whose sum is σ = 212176737379200. Its totient is φ = 17594062700544.

The previous prime is 61890283381183. The next prime is 61890283381253. The reversal of 61890283381248 is 84218338209816.

61890283381248 is a `hidden beast` number, since 6 + 1 + 8 + 9 + 0 + 2 + 8 + 3 + 381 + 248 = 666.

It is a super-2 number, since 2×61890283381248² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57234840 + ... + 58306152.

It is an arithmetic number, because the mean of its divisors is an integer number (530441843448).

Almost surely, 2^{61890283381248} 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 61890283381248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106088368689600).

61890283381248 is an abundant number, since it is smaller than the sum of its proper divisors (150286453997952).

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

61890283381248 is a wasteful number, since it uses less digits than its factorization.

61890283381248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071549 (or 1071524 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 61890283381248 in words is "sixty-one trillion, eight hundred ninety billion, two hundred eighty-three million, three hundred eighty-one thousand, two hundred forty-eight".