73415170135993 has 32 divisors (see below), whose sum is σ = 88433123328000. Its totient is φ = 59538341813760.

The previous prime is 73415170135973. The next prime is 73415170136003. The reversal of 73415170135993 is 39953107151437.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 73415170135993 - 2⁵ = 73415170135961 is a prime.

It is a super-2 number, since 2×73415170135993² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73415170135913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336532713 + ... + 336750793.

It is an arithmetic number, because the mean of its divisors is an integer number (2763535104000).

Almost surely, 2^{73415170135993} is an apocalyptic number.

It is an amenable number.

73415170135993 is a deficient number, since it is larger than the sum of its proper divisors (15017953192007).

73415170135993 is a wasteful number, since it uses less digits than its factorization.

73415170135993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221365.

The product of its (nonzero) digits is 10716300, while the sum is 58.

The spelling of 73415170135993 in words is "seventy-three trillion, four hundred fifteen billion, one hundred seventy million, one hundred thirty-five thousand, nine hundred ninety-three".