145778206464 has 720 divisors, whose sum is σ = 493619132160. Its totient is φ = 42407608320.

The previous prime is 145778206463. The next prime is 145778206577. The reversal of 145778206464 is 464602877541.

145778206464 is a `hidden beast` number, since 1 + 4 + 577 + 8 + 2 + 0 + 6 + 4 + 64 = 666.

It is a super-2 number, since 2×145778206464² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145778206464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145778206463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 872923309 + ... + 872923475.

It is an arithmetic number, because the mean of its divisors is an integer number (685582128).

Almost surely, 2^145778206464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145778206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246809566080).

145778206464 is an abundant number, since it is smaller than the sum of its proper divisors (347840925696).

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

145778206464 is a wasteful number, since it uses less digits than its factorization.

145778206464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 145778206464 in words is "one hundred forty-five billion, seven hundred seventy-eight million, two hundred six thousand, four hundred sixty-four".