245766673152 has 576 divisors, whose sum is σ = 975837649920. Its totient is φ = 58923417600.

The previous prime is 245766673133. The next prime is 245766673153. The reversal of 245766673152 is 251376667542.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×245766673152³ (a number of 35 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (245766673153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6901152 + ... + 6936672.

Almost surely, 2^245766673152 is an apocalyptic number.

245766673152 is a gapful number since it is divisible by the number (22) 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 245766673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487918824960).

245766673152 is an abundant number, since it is smaller than the sum of its proper divisors (730070976768).

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

245766673152 is a wasteful number, since it uses less digits than its factorization.

245766673152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35577 (or 35557 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 245766673152 in words is "two hundred forty-five billion, seven hundred sixty-six million, six hundred seventy-three thousand, one hundred fifty-two".