61242378714001 has 9 divisors (see below), whose sum is σ = 62263296044859. Its totient is φ = 60237935747400.

The previous prime is 61242378713969. The next prime is 61242378714019. The reversal of 61242378714001 is 10041787324216.

The square root of 61242378714001 is 7825751.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1991488262401 + 59250890451600 = 1411201^2 + 7697460^2 .

It is not a de Polignac number, because 61242378714001 - 2⁵ = 61242378713969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61242378714301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 477306666 + ... + 477434956.

Almost surely, 2^{61242378714001} is an apocalyptic number.

61242378714001 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

61242378714001 is the 7825751-st square number.

61242378714001 is the 3912876-th centered octagonal number.

It is an amenable number.

61242378714001 is a deficient number, since it is larger than the sum of its proper divisors (1020917330858).

61242378714001 is an frugal number, since it uses more digits than its factorization.

61242378714001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256704 (or 128352 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 61242378714001 in words is "sixty-one trillion, two hundred forty-two billion, three hundred seventy-eight million, seven hundred fourteen thousand, one".