61293450145536 has 1728 divisors, whose sum is σ = 220336350474240. Its totient is φ = 16955360722944.

The previous prime is 61293450145507. The next prime is 61293450145561. The reversal of 61293450145536 is 63554105439216.

61293450145536 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 34 + 50 + 1 + 4 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 263062017676 + ... + 263062017908.

It is an arithmetic number, because the mean of its divisors is an integer number (127509462080).

Almost surely, 2^{61293450145536} 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 61293450145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110168175237120).

61293450145536 is an abundant number, since it is smaller than the sum of its proper divisors (159042900328704).

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

61293450145536 is an equidigital number, since it uses as much as digits as its factorization.

61293450145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 61293450145536 in words is "sixty-one trillion, two hundred ninety-three billion, four hundred fifty million, one hundred forty-five thousand, five hundred thirty-six".