245387477790 has 1152 divisors, whose sum is σ = 893923430400. Its totient is φ = 46363000320.

The previous prime is 245387477773. The next prime is 245387477893. The reversal of 245387477790 is 97774783542.

245387477790 is a `hidden beast` number, since 2 + 4 + 538 + 7 + 4 + 7 + 7 + 7 + 90 = 666.

245387477790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×245387477790² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5706685509 + ... + 5706685551.

It is an arithmetic number, because the mean of its divisors is an integer number (775975200).

Almost surely, 2^245387477790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245387477790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446961715200).

245387477790 is an abundant number, since it is smaller than the sum of its proper divisors (648535952610).

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

245387477790 is a wasteful number, since it uses less digits than its factorization.

245387477790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 245387477790 in words is "two hundred forty-five billion, three hundred eighty-seven million, four hundred seventy-seven thousand, seven hundred ninety".