76145513554601 has 16 divisors (see below), whose sum is σ = 82172306422800. Its totient is φ = 70291551203328.

The previous prime is 76145513554577. The next prime is 76145513554661. The reversal of 76145513554601 is 10645531554167.

It can be written as a sum of positive squares in 8 ways, for example, as 303204409600 + 75842309145001 = 550640^2 + 8708749^2 .

It is a cyclic number.

It is not a de Polignac number, because 76145513554601 - 2¹⁴ = 76145513538217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76145513554661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10790336 + ... + 16392753.

It is an arithmetic number, because the mean of its divisors is an integer number (5135769151425).

Almost surely, 2^{76145513554601} is an apocalyptic number.

It is an amenable number.

76145513554601 is a deficient number, since it is larger than the sum of its proper divisors (6026792868199).

76145513554601 is a wasteful number, since it uses less digits than its factorization.

76145513554601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27186268.

The product of its (nonzero) digits is 7560000, while the sum is 53.

The spelling of 76145513554601 in words is "seventy-six trillion, one hundred forty-five billion, five hundred thirteen million, five hundred fifty-four thousand, six hundred one".