61624500542616 has 32 divisors (see below), whose sum is σ = 168066819662400. Its totient is φ = 18674091073440.

The previous prime is 61624500542609. The next prime is 61624500542621.

It is a happy number.

61624500542616 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116713068946 + ... + 116713069473.

It is an arithmetic number, because the mean of its divisors is an integer number (5252088114450).

Almost surely, 2^{61624500542616} is an apocalyptic number.

61624500542616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61624500542616 is an abundant number, since it is smaller than the sum of its proper divisors (106442319119784).

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

61624500542616 is a wasteful number, since it uses less digits than its factorization.

61624500542616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233426138439 (or 233426138435 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 61624500542616 in words is "sixty-one trillion, six hundred twenty-four billion, five hundred million, five hundred forty-two thousand, six hundred sixteen".