61498249892352 has 480 divisors, whose sum is σ = 226537576417152. Its totient is φ = 16219315666944.

The previous prime is 61498249892351. The next prime is 61498249892353. The reversal of 61498249892352 is 25329894289416.

61498249892352 is a `hidden beast` number, since 6 + 1 + 4 + 9 + 82 + 498 + 9 + 2 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (61498249892351) and next prime (61498249892353).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (61498249892351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8605948 + ... + 14037764.

Almost surely, 2^{61498249892352} 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 61498249892352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113268788208576).

61498249892352 is an abundant number, since it is smaller than the sum of its proper divisors (165039326524800).

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

61498249892352 is an equidigital number, since it uses as much as digits as its factorization.

61498249892352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431870 (or 5431842 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 61498249892352 in words is "sixty-one trillion, four hundred ninety-eight billion, two hundred forty-nine million, eight hundred ninety-two thousand, three hundred fifty-two".