30145862880 has 192 divisors, whose sum is σ = 120583572480. Its totient is φ = 6890476032.

The previous prime is 30145862849. The next prime is 30145862881. The reversal of 30145862880 is 8826854103.

30145862880 is a `hidden beast` number, since 3 + 0 + 14 + 5 + 8 + 628 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30145862881) 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, 468204 + ... + 528683.

It is an arithmetic number, because the mean of its divisors is an integer number (628039440).

Almost surely, 2^30145862880 is an apocalyptic number.

30145862880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30145862880 is an abundant number, since it is smaller than the sum of its proper divisors (90437709600).

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

30145862880 is a wasteful number, since it uses less digits than its factorization.

30145862880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996918 (or 996904 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

It can be divided in two parts, 30145 and 862880, that added together give a square (893025 = 945²).

The spelling of 30145862880 in words is "thirty billion, one hundred forty-five million, eight hundred sixty-two thousand, eight hundred eighty".