61653145362240 has 224 divisors, whose sum is σ = 196543310077440. Its totient is φ = 16374205900800.

The previous prime is 61653145362233. The next prime is 61653145362269. The reversal of 61653145362240 is 4226354135616.

It is a super-2 number, since 2×61653145362240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 61653145362240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308445051 + ... + 308644869.

Almost surely, 2^{61653145362240} is an apocalyptic number.

61653145362240 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 61653145362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98271655038720).

61653145362240 is an abundant number, since it is smaller than the sum of its proper divisors (134890164715200).

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

61653145362240 is a wasteful number, since it uses less digits than its factorization.

61653145362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201141 (or 201131 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

Adding to 61653145362240 its reverse (4226354135616), we get a palindrome (65879499497856).

The spelling of 61653145362240 in words is "sixty-one trillion, six hundred fifty-three billion, one hundred forty-five million, three hundred sixty-two thousand, two hundred forty".